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Finding the Fourth Proportional to 22,922.72, 34,385.84 and 9,775.16

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Solution

The fourth proportional to 22,922.72, 34,385.84 and 9,775.16 is: 14,663.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,922.72 : 34,385.84 = 9,775.16 : x
  2. Step 2: Convert to fraction form
    22,922.72/34,385.84 = 9,775.16/x
  3. Step 3: Cross multiply
    22,922.72x = 34,385.84 × 9,775.16
  4. Step 4: Simplify right side
    22,922.72x = 336,127,087.73
  5. Step 5: Solve for x
    x = 336,127,087.73/22,922.72
  6. Step 6: Final answer
    x = 14,663.49

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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.