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Finding the Fourth Proportional to 22,922.10, 34,383.15 and 9,775.80

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Solution

The fourth proportional to 22,922.10, 34,383.15 and 9,775.80 is: 14,663.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,922.10 : 34,383.15 = 9,775.80 : x
  2. Step 2: Convert to fraction form
    22,922.10/34,383.15 = 9,775.80/x
  3. Step 3: Cross multiply
    22,922.10x = 34,383.15 × 9,775.80
  4. Step 4: Simplify right side
    22,922.10x = 336,122,797.77
  5. Step 5: Solve for x
    x = 336,122,797.77/22,922.10
  6. Step 6: Final answer
    x = 14,663.70

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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.