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Finding the Fourth Proportional to 9,925.68, 14,897.70 and 4,082.70

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Solution

The fourth proportional to 9,925.68, 14,897.70 and 4,082.70 is: 6,127.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,925.68 : 14,897.70 = 4,082.70 : x
  2. Step 2: Convert to fraction form
    9,925.68/14,897.70 = 4,082.70/x
  3. Step 3: Cross multiply
    9,925.68x = 14,897.70 × 4,082.70
  4. Step 4: Simplify right side
    9,925.68x = 60,822,839.79
  5. Step 5: Solve for x
    x = 60,822,839.79/9,925.68
  6. Step 6: Final answer
    x = 6,127.83

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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.