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Finding the Fourth Proportional to 22,758.75, 34,143.89 and 6,342.75

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Solution

The fourth proportional to 22,758.75, 34,143.89 and 6,342.75 is: 9,515.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,758.75 : 34,143.89 = 6,342.75 : x
  2. Step 2: Convert to fraction form
    22,758.75/34,143.89 = 6,342.75/x
  3. Step 3: Cross multiply
    22,758.75x = 34,143.89 × 6,342.75
  4. Step 4: Simplify right side
    22,758.75x = 216,566,126.58
  5. Step 5: Solve for x
    x = 216,566,126.58/22,758.75
  6. Step 6: Final answer
    x = 9,515.73

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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.