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Finding the Fourth Proportional to 9,801.60, 14,680.80 and 5,179.20

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Solution

The fourth proportional to 9,801.60, 14,680.80 and 5,179.20 is: 7,757.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,801.60 : 14,680.80 = 5,179.20 : x
  2. Step 2: Convert to fraction form
    9,801.60/14,680.80 = 5,179.20/x
  3. Step 3: Cross multiply
    9,801.60x = 14,680.80 × 5,179.20
  4. Step 4: Simplify right side
    9,801.60x = 76,034,799.36
  5. Step 5: Solve for x
    x = 76,034,799.36/9,801.60
  6. Step 6: Final answer
    x = 7,757.39

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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.