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Finding the Fourth Proportional to 25,097.97, 37,650.42 and 8,462.76

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Solution

The fourth proportional to 25,097.97, 37,650.42 and 8,462.76 is: 12,695.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,097.97 : 37,650.42 = 8,462.76 : x
  2. Step 2: Convert to fraction form
    25,097.97/37,650.42 = 8,462.76/x
  3. Step 3: Cross multiply
    25,097.97x = 37,650.42 × 8,462.76
  4. Step 4: Simplify right side
    25,097.97x = 318,626,468.36
  5. Step 5: Solve for x
    x = 318,626,468.36/25,097.97
  6. Step 6: Final answer
    x = 12,695.31

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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.