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Finding the Fourth Proportional to 10,459.60, 15,689.40 and 9,617.20

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Solution

The fourth proportional to 10,459.60, 15,689.40 and 9,617.20 is: 14,425.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,459.60 : 15,689.40 = 9,617.20 : x
  2. Step 2: Convert to fraction form
    10,459.60/15,689.40 = 9,617.20/x
  3. Step 3: Cross multiply
    10,459.60x = 15,689.40 × 9,617.20
  4. Step 4: Simplify right side
    10,459.60x = 150,888,097.68
  5. Step 5: Solve for x
    x = 150,888,097.68/10,459.60
  6. Step 6: Final answer
    x = 14,425.80

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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.