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Finding the Fourth Proportional to 34,371, 51,565.14 and 9,747

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Solution

The fourth proportional to 34,371, 51,565.14 and 9,747 is: 14,622.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,371 : 51,565.14 = 9,747 : x
  2. Step 2: Convert to fraction form
    34,371/51,565.14 = 9,747/x
  3. Step 3: Cross multiply
    34,371x = 51,565.14 × 9,747
  4. Step 4: Simplify right side
    34,371x = 502,605,419.58
  5. Step 5: Solve for x
    x = 502,605,419.58/34,371
  6. Step 6: Final answer
    x = 14,622.95

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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.