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Finding the Fourth Proportional to 10,459.64, 15,597.19 and 9,008.12

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Solution

The fourth proportional to 10,459.64, 15,597.19 and 9,008.12 is: 13,432.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,459.64 : 15,597.19 = 9,008.12 : x
  2. Step 2: Convert to fraction form
    10,459.64/15,597.19 = 9,008.12/x
  3. Step 3: Cross multiply
    10,459.64x = 15,597.19 × 9,008.12
  4. Step 4: Simplify right side
    10,459.64x = 140,501,359.18
  5. Step 5: Solve for x
    x = 140,501,359.18/10,459.64
  6. Step 6: Final answer
    x = 13,432.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.