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Finding the Fourth Proportional to 5,138.60, 7,697.10 and 4,274.60

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Solution

The fourth proportional to 5,138.60, 7,697.10 and 4,274.60 is: 6,402.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,138.60 : 7,697.10 = 4,274.60 : x
  2. Step 2: Convert to fraction form
    5,138.60/7,697.10 = 4,274.60/x
  3. Step 3: Cross multiply
    5,138.60x = 7,697.10 × 4,274.60
  4. Step 4: Simplify right side
    5,138.60x = 32,902,023.66
  5. Step 5: Solve for x
    x = 32,902,023.66/5,138.60
  6. Step 6: Final answer
    x = 6,402.92

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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.