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Finding the Fourth Proportional to 9,912.60, 14,862.26 and 5,227.65

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Solution

The fourth proportional to 9,912.60, 14,862.26 and 5,227.65 is: 7,837.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,912.60 : 14,862.26 = 5,227.65 : x
  2. Step 2: Convert to fraction form
    9,912.60/14,862.26 = 5,227.65/x
  3. Step 3: Cross multiply
    9,912.60x = 14,862.26 × 5,227.65
  4. Step 4: Simplify right side
    9,912.60x = 77,694,667.35
  5. Step 5: Solve for x
    x = 77,694,667.35/9,912.60
  6. Step 6: Final answer
    x = 7,837.97

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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.