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Finding the Fourth Proportional to 13,443.63, 20,165.46 and 5,235.63

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Solution

The fourth proportional to 13,443.63, 20,165.46 and 5,235.63 is: 7,853.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,443.63 : 20,165.46 = 5,235.63 : x
  2. Step 2: Convert to fraction form
    13,443.63/20,165.46 = 5,235.63/x
  3. Step 3: Cross multiply
    13,443.63x = 20,165.46 × 5,235.63
  4. Step 4: Simplify right side
    13,443.63x = 105,578,887.34
  5. Step 5: Solve for x
    x = 105,578,887.34/13,443.63
  6. Step 6: Final answer
    x = 7,853.45

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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 (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.