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Finding the Fourth Proportional to 10,297.80, 15,446.70 and 3,724.20

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Solution

The fourth proportional to 10,297.80, 15,446.70 and 3,724.20 is: 5,586.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,297.80 : 15,446.70 = 3,724.20 : x
  2. Step 2: Convert to fraction form
    10,297.80/15,446.70 = 3,724.20/x
  3. Step 3: Cross multiply
    10,297.80x = 15,446.70 × 3,724.20
  4. Step 4: Simplify right side
    10,297.80x = 57,526,600.14
  5. Step 5: Solve for x
    x = 57,526,600.14/10,297.80
  6. Step 6: Final answer
    x = 5,586.30

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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.