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Finding the Fourth Proportional to 8,195.57, 12,301.89 and 7,264.43

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Solution

The fourth proportional to 8,195.57, 12,301.89 and 7,264.43 is: 10,904.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,195.57 : 12,301.89 = 7,264.43 : x
  2. Step 2: Convert to fraction form
    8,195.57/12,301.89 = 7,264.43/x
  3. Step 3: Cross multiply
    8,195.57x = 12,301.89 × 7,264.43
  4. Step 4: Simplify right side
    8,195.57x = 89,366,130.02
  5. Step 5: Solve for x
    x = 89,366,130.02/8,195.57
  6. Step 6: Final answer
    x = 10,904.21

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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.