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Finding the Fourth Proportional to 8,165.60, 12,232.20 and 4,462.40

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Solution

The fourth proportional to 8,165.60, 12,232.20 and 4,462.40 is: 6,684.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,165.60 : 12,232.20 = 4,462.40 : x
  2. Step 2: Convert to fraction form
    8,165.60/12,232.20 = 4,462.40/x
  3. Step 3: Cross multiply
    8,165.60x = 12,232.20 × 4,462.40
  4. Step 4: Simplify right side
    8,165.60x = 54,584,969.28
  5. Step 5: Solve for x
    x = 54,584,969.28/8,165.60
  6. Step 6: Final answer
    x = 6,684.75

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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.