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Finding the Fourth Proportional to 7,732.71, 10,670.24 and 4,329.92

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Solution

The fourth proportional to 7,732.71, 10,670.24 and 4,329.92 is: 5,974.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,732.71 : 10,670.24 = 4,329.92 : x
  2. Step 2: Convert to fraction form
    7,732.71/10,670.24 = 4,329.92/x
  3. Step 3: Cross multiply
    7,732.71x = 10,670.24 × 4,329.92
  4. Step 4: Simplify right side
    7,732.71x = 46,201,323.08
  5. Step 5: Solve for x
    x = 46,201,323.08/7,732.71
  6. Step 6: Final answer
    x = 5,974.79

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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.