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Finding the Fourth Proportional to 7,658.76, 10,569.65 and 4,301.78

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Solution

The fourth proportional to 7,658.76, 10,569.65 and 4,301.78 is: 5,936.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,658.76 : 10,569.65 = 4,301.78 : x
  2. Step 2: Convert to fraction form
    7,658.76/10,569.65 = 4,301.78/x
  3. Step 3: Cross multiply
    7,658.76x = 10,569.65 × 4,301.78
  4. Step 4: Simplify right side
    7,658.76x = 45,468,234.62
  5. Step 5: Solve for x
    x = 45,468,234.62/7,658.76
  6. Step 6: Final answer
    x = 5,936.76

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1.5x scale

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.