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Finding the Fourth Proportional to 16,882.50, 25,306.46 and 7,027.50

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Solution

The fourth proportional to 16,882.50, 25,306.46 and 7,027.50 is: 10,534.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,882.50 : 25,306.46 = 7,027.50 : x
  2. Step 2: Convert to fraction form
    16,882.50/25,306.46 = 7,027.50/x
  3. Step 3: Cross multiply
    16,882.50x = 25,306.46 × 7,027.50
  4. Step 4: Simplify right side
    16,882.50x = 177,841,147.65
  5. Step 5: Solve for x
    x = 177,841,147.65/16,882.50
  6. Step 6: Final answer
    x = 10,534.05

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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.