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Finding the Fourth Proportional to 22,715.25, 34,074.09 and 7,134.09

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Solution

The fourth proportional to 22,715.25, 34,074.09 and 7,134.09 is: 10,701.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,715.25 : 34,074.09 = 7,134.09 : x
  2. Step 2: Convert to fraction form
    22,715.25/34,074.09 = 7,134.09/x
  3. Step 3: Cross multiply
    22,715.25x = 34,074.09 × 7,134.09
  4. Step 4: Simplify right side
    22,715.25x = 243,087,624.73
  5. Step 5: Solve for x
    x = 243,087,624.73/22,715.25
  6. Step 6: Final answer
    x = 10,701.52

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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.