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Finding the Fourth Proportional to 7,731.60, 11,597.34 and 2,801.20

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Solution

The fourth proportional to 7,731.60, 11,597.34 and 2,801.20 is: 4,201.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,731.60 : 11,597.34 = 2,801.20 : x
  2. Step 2: Convert to fraction form
    7,731.60/11,597.34 = 2,801.20/x
  3. Step 3: Cross multiply
    7,731.60x = 11,597.34 × 2,801.20
  4. Step 4: Simplify right side
    7,731.60x = 32,486,468.81
  5. Step 5: Solve for x
    x = 32,486,468.81/7,731.60
  6. Step 6: Final answer
    x = 4,201.78

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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.