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Finding the Fourth Proportional to 9,600.40, 14,404.20 and 3,761.20

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Solution

The fourth proportional to 9,600.40, 14,404.20 and 3,761.20 is: 5,643.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,600.40 : 14,404.20 = 3,761.20 : x
  2. Step 2: Convert to fraction form
    9,600.40/14,404.20 = 3,761.20/x
  3. Step 3: Cross multiply
    9,600.40x = 14,404.20 × 3,761.20
  4. Step 4: Simplify right side
    9,600.40x = 54,177,077.04
  5. Step 5: Solve for x
    x = 54,177,077.04/9,600.40
  6. Step 6: Final answer
    x = 5,643.21

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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.