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Finding the Fourth Proportional to 9,152.80, 13,729.20 and 5,410.60

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Solution

The fourth proportional to 9,152.80, 13,729.20 and 5,410.60 is: 8,115.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,152.80 : 13,729.20 = 5,410.60 : x
  2. Step 2: Convert to fraction form
    9,152.80/13,729.20 = 5,410.60/x
  3. Step 3: Cross multiply
    9,152.80x = 13,729.20 × 5,410.60
  4. Step 4: Simplify right side
    9,152.80x = 74,283,209.52
  5. Step 5: Solve for x
    x = 74,283,209.52/9,152.80
  6. Step 6: Final answer
    x = 8,115.90

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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.