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Finding the Fourth Proportional to 8,177.60, 12,280.80 and 7,918.40

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Solution

The fourth proportional to 8,177.60, 12,280.80 and 7,918.40 is: 11,891.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,177.60 : 12,280.80 = 7,918.40 : x
  2. Step 2: Convert to fraction form
    8,177.60/12,280.80 = 7,918.40/x
  3. Step 3: Cross multiply
    8,177.60x = 12,280.80 × 7,918.40
  4. Step 4: Simplify right side
    8,177.60x = 97,244,286.72
  5. Step 5: Solve for x
    x = 97,244,286.72/8,177.60
  6. Step 6: Final answer
    x = 11,891.54

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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.