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Finding the Fourth Proportional to 7,750, 10,695.24 and 4,438

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Solution

The fourth proportional to 7,750, 10,695.24 and 4,438 is: 6,124.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,750 : 10,695.24 = 4,438 : x
  2. Step 2: Convert to fraction form
    7,750/10,695.24 = 4,438/x
  3. Step 3: Cross multiply
    7,750x = 10,695.24 × 4,438
  4. Step 4: Simplify right side
    7,750x = 47,465,475.12
  5. Step 5: Solve for x
    x = 47,465,475.12/7,750
  6. Step 6: Final answer
    x = 6,124.58

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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.