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Finding the Fourth Proportional to 22,097.80, 33,167.52 and 8,071.40

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Solution

The fourth proportional to 22,097.80, 33,167.52 and 8,071.40 is: 12,114.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,097.80 : 33,167.52 = 8,071.40 : x
  2. Step 2: Convert to fraction form
    22,097.80/33,167.52 = 8,071.40/x
  3. Step 3: Cross multiply
    22,097.80x = 33,167.52 × 8,071.40
  4. Step 4: Simplify right side
    22,097.80x = 267,708,320.93
  5. Step 5: Solve for x
    x = 267,708,320.93/22,097.80
  6. Step 6: Final answer
    x = 12,114.70

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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.