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Finding the Fourth Proportional to 34,377, 51,574.14 and 9,753

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Solution

The fourth proportional to 34,377, 51,574.14 and 9,753 is: 14,631.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,377 : 51,574.14 = 9,753 : x
  2. Step 2: Convert to fraction form
    34,377/51,574.14 = 9,753/x
  3. Step 3: Cross multiply
    34,377x = 51,574.14 × 9,753
  4. Step 4: Simplify right side
    34,377x = 503,002,587.42
  5. Step 5: Solve for x
    x = 503,002,587.42/34,377
  6. Step 6: Final answer
    x = 14,631.95

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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.