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Finding the Fourth Proportional to 4,966.72, 7,446.47 and 2,332.87

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Solution

The fourth proportional to 4,966.72, 7,446.47 and 2,332.87 is: 3,497.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,966.72 : 7,446.47 = 2,332.87 : x
  2. Step 2: Convert to fraction form
    4,966.72/7,446.47 = 2,332.87/x
  3. Step 3: Cross multiply
    4,966.72x = 7,446.47 × 2,332.87
  4. Step 4: Simplify right side
    4,966.72x = 17,371,646.47
  5. Step 5: Solve for x
    x = 17,371,646.47/4,966.72
  6. Step 6: Final answer
    x = 3,497.61

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1.5x scale

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.