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Finding the Fourth Proportional to 22,856.70, 34,272.90 and 9,694.20

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Solution

The fourth proportional to 22,856.70, 34,272.90 and 9,694.20 is: 14,536.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,856.70 : 34,272.90 = 9,694.20 : x
  2. Step 2: Convert to fraction form
    22,856.70/34,272.90 = 9,694.20/x
  3. Step 3: Cross multiply
    22,856.70x = 34,272.90 × 9,694.20
  4. Step 4: Simplify right side
    22,856.70x = 332,248,347.18
  5. Step 5: Solve for x
    x = 332,248,347.18/22,856.70
  6. Step 6: Final answer
    x = 14,536.15

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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.