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Finding the Fourth Proportional to 7,231.26, 9,974.52 and 5,549.88

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Solution

The fourth proportional to 7,231.26, 9,974.52 and 5,549.88 is: 7,655.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,231.26 : 9,974.52 = 5,549.88 : x
  2. Step 2: Convert to fraction form
    7,231.26/9,974.52 = 5,549.88/x
  3. Step 3: Cross multiply
    7,231.26x = 9,974.52 × 5,549.88
  4. Step 4: Simplify right side
    7,231.26x = 55,357,389.06
  5. Step 5: Solve for x
    x = 55,357,389.06/7,231.26
  6. Step 6: Final answer
    x = 7,655.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.