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Finding the Fourth Proportional to 22,726.40, 34,087.20 and 7,143.20

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Solution

The fourth proportional to 22,726.40, 34,087.20 and 7,143.20 is: 10,714.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,726.40 : 34,087.20 = 7,143.20 : x
  2. Step 2: Convert to fraction form
    22,726.40/34,087.20 = 7,143.20/x
  3. Step 3: Cross multiply
    22,726.40x = 34,087.20 × 7,143.20
  4. Step 4: Simplify right side
    22,726.40x = 243,491,687.04
  5. Step 5: Solve for x
    x = 243,491,687.04/22,726.40
  6. Step 6: Final answer
    x = 10,714.05

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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.