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Finding the Fourth Proportional to 9,242.97, 12,759.49 and 5,890.38

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Solution

The fourth proportional to 9,242.97, 12,759.49 and 5,890.38 is: 8,131.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,242.97 : 12,759.49 = 5,890.38 : x
  2. Step 2: Convert to fraction form
    9,242.97/12,759.49 = 5,890.38/x
  3. Step 3: Cross multiply
    9,242.97x = 12,759.49 × 5,890.38
  4. Step 4: Simplify right side
    9,242.97x = 75,158,244.71
  5. Step 5: Solve for x
    x = 75,158,244.71/9,242.97
  6. Step 6: Final answer
    x = 8,131.40

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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.