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Finding the Fourth Proportional to 25,498.96, 38,252.88 and 7,964.32

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Solution

The fourth proportional to 25,498.96, 38,252.88 and 7,964.32 is: 11,947.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,498.96 : 38,252.88 = 7,964.32 : x
  2. Step 2: Convert to fraction form
    25,498.96/38,252.88 = 7,964.32/x
  3. Step 3: Cross multiply
    25,498.96x = 38,252.88 × 7,964.32
  4. Step 4: Simplify right side
    25,498.96x = 304,658,177.24
  5. Step 5: Solve for x
    x = 304,658,177.24/25,498.96
  6. Step 6: Final answer
    x = 11,947.87

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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.