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Finding the Fourth Proportional to 22,960.92, 34,454.34 and 9,812.28

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Solution

The fourth proportional to 22,960.92, 34,454.34 and 9,812.28 is: 14,723.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,960.92 : 34,454.34 = 9,812.28 : x
  2. Step 2: Convert to fraction form
    22,960.92/34,454.34 = 9,812.28/x
  3. Step 3: Cross multiply
    22,960.92x = 34,454.34 × 9,812.28
  4. Step 4: Simplify right side
    22,960.92x = 338,075,631.30
  5. Step 5: Solve for x
    x = 338,075,631.30/22,960.92
  6. Step 6: Final answer
    x = 14,723.96

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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.