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Finding the Fourth Proportional to 7,957.97, 11,937.20 and 3,798.42

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Solution

The fourth proportional to 7,957.97, 11,937.20 and 3,798.42 is: 5,697.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,957.97 : 11,937.20 = 3,798.42 : x
  2. Step 2: Convert to fraction form
    7,957.97/11,937.20 = 3,798.42/x
  3. Step 3: Cross multiply
    7,957.97x = 11,937.20 × 3,798.42
  4. Step 4: Simplify right side
    7,957.97x = 45,342,499.22
  5. Step 5: Solve for x
    x = 45,342,499.22/7,957.97
  6. Step 6: Final answer
    x = 5,697.75

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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.