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Finding the Fourth Proportional to 10,597.67, 14,624.19 and 6,121.14

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Solution

The fourth proportional to 10,597.67, 14,624.19 and 6,121.14 is: 8,446.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,597.67 : 14,624.19 = 6,121.14 : x
  2. Step 2: Convert to fraction form
    10,597.67/14,624.19 = 6,121.14/x
  3. Step 3: Cross multiply
    10,597.67x = 14,624.19 × 6,121.14
  4. Step 4: Simplify right side
    10,597.67x = 89,516,714.38
  5. Step 5: Solve for x
    x = 89,516,714.38/10,597.67
  6. Step 6: Final answer
    x = 8,446.83

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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.