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Finding the Fourth Proportional to 7,934.74, 10,949.64 and 4,398

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Solution

The fourth proportional to 7,934.74, 10,949.64 and 4,398 is: 6,069.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,934.74 : 10,949.64 = 4,398 : x
  2. Step 2: Convert to fraction form
    7,934.74/10,949.64 = 4,398/x
  3. Step 3: Cross multiply
    7,934.74x = 10,949.64 × 4,398
  4. Step 4: Simplify right side
    7,934.74x = 48,156,516.72
  5. Step 5: Solve for x
    x = 48,156,516.72/7,934.74
  6. Step 6: Final answer
    x = 6,069.07

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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.