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Finding the Fourth Proportional to 10,097.70, 15,146.55 and 6,404.10

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Solution

The fourth proportional to 10,097.70, 15,146.55 and 6,404.10 is: 9,606.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,097.70 : 15,146.55 = 6,404.10 : x
  2. Step 2: Convert to fraction form
    10,097.70/15,146.55 = 6,404.10/x
  3. Step 3: Cross multiply
    10,097.70x = 15,146.55 × 6,404.10
  4. Step 4: Simplify right side
    10,097.70x = 97,000,020.86
  5. Step 5: Solve for x
    x = 97,000,020.86/10,097.70
  6. Step 6: Final answer
    x = 9,606.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.