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Finding the Fourth Proportional to 9,165.60, 13,732.20 and 8,128.80

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Solution

The fourth proportional to 9,165.60, 13,732.20 and 8,128.80 is: 12,178.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,165.60 : 13,732.20 = 8,128.80 : x
  2. Step 2: Convert to fraction form
    9,165.60/13,732.20 = 8,128.80/x
  3. Step 3: Cross multiply
    9,165.60x = 13,732.20 × 8,128.80
  4. Step 4: Simplify right side
    9,165.60x = 111,626,307.36
  5. Step 5: Solve for x
    x = 111,626,307.36/9,165.60
  6. Step 6: Final answer
    x = 12,178.83

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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.