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Finding the Fourth Proportional to 27,241.40, 40,862.10 and 9,711.80

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Solution

The fourth proportional to 27,241.40, 40,862.10 and 9,711.80 is: 14,567.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,241.40 : 40,862.10 = 9,711.80 : x
  2. Step 2: Convert to fraction form
    27,241.40/40,862.10 = 9,711.80/x
  3. Step 3: Cross multiply
    27,241.40x = 40,862.10 × 9,711.80
  4. Step 4: Simplify right side
    27,241.40x = 396,844,542.78
  5. Step 5: Solve for x
    x = 396,844,542.78/27,241.40
  6. Step 6: Final answer
    x = 14,567.70

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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.