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Finding the Fourth Proportional to 22,691.25, 34,038.09 and 7,110.09

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Solution

The fourth proportional to 22,691.25, 34,038.09 and 7,110.09 is: 10,665.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,691.25 : 34,038.09 = 7,110.09 : x
  2. Step 2: Convert to fraction form
    22,691.25/34,038.09 = 7,110.09/x
  3. Step 3: Cross multiply
    22,691.25x = 34,038.09 × 7,110.09
  4. Step 4: Simplify right side
    22,691.25x = 242,013,883.33
  5. Step 5: Solve for x
    x = 242,013,883.33/22,691.25
  6. Step 6: Final answer
    x = 10,665.52

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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.