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Finding the Fourth Proportional to 16,857.56, 23,254.08 and 9,783.20

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Solution

The fourth proportional to 16,857.56, 23,254.08 and 9,783.20 is: 13,495.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,857.56 : 23,254.08 = 9,783.20 : x
  2. Step 2: Convert to fraction form
    16,857.56/23,254.08 = 9,783.20/x
  3. Step 3: Cross multiply
    16,857.56x = 23,254.08 × 9,783.20
  4. Step 4: Simplify right side
    16,857.56x = 227,499,315.46
  5. Step 5: Solve for x
    x = 227,499,315.46/16,857.56
  6. Step 6: Final answer
    x = 13,495.39

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.