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Finding the Fourth Proportional to 9,264.43, 12,781.74 and 5,282.68

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Solution

The fourth proportional to 9,264.43, 12,781.74 and 5,282.68 is: 7,288.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,264.43 : 12,781.74 = 5,282.68 : x
  2. Step 2: Convert to fraction form
    9,264.43/12,781.74 = 5,282.68/x
  3. Step 3: Cross multiply
    9,264.43x = 12,781.74 × 5,282.68
  4. Step 4: Simplify right side
    9,264.43x = 67,521,842.26
  5. Step 5: Solve for x
    x = 67,521,842.26/9,264.43
  6. Step 6: Final answer
    x = 7,288.29

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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.