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Finding the Fourth Proportional to 9,600.60, 14,411.70 and 5,707.20

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Solution

The fourth proportional to 9,600.60, 14,411.70 and 5,707.20 is: 8,567.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,600.60 : 14,411.70 = 5,707.20 : x
  2. Step 2: Convert to fraction form
    9,600.60/14,411.70 = 5,707.20/x
  3. Step 3: Cross multiply
    9,600.60x = 14,411.70 × 5,707.20
  4. Step 4: Simplify right side
    9,600.60x = 82,250,454.24
  5. Step 5: Solve for x
    x = 82,250,454.24/9,600.60
  6. Step 6: Final answer
    x = 8,567.22

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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.