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Finding the Fourth Proportional to 12,164.39, 16,783.06 and 6,858.18

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Solution

The fourth proportional to 12,164.39, 16,783.06 and 6,858.18 is: 9,462.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,164.39 : 16,783.06 = 6,858.18 : x
  2. Step 2: Convert to fraction form
    12,164.39/16,783.06 = 6,858.18/x
  3. Step 3: Cross multiply
    12,164.39x = 16,783.06 × 6,858.18
  4. Step 4: Simplify right side
    12,164.39x = 115,101,229.29
  5. Step 5: Solve for x
    x = 115,101,229.29/12,164.39
  6. Step 6: Final answer
    x = 9,462.15

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Half scale
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Double scale
Find fourth proportional to 12,165.39, 16,784.44 and 6,859.18
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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.