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Finding the Fourth Proportional to 25,695.72, 38,546.15 and 6,976.06

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Solution

The fourth proportional to 25,695.72, 38,546.15 and 6,976.06 is: 10,464.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,695.72 : 38,546.15 = 6,976.06 : x
  2. Step 2: Convert to fraction form
    25,695.72/38,546.15 = 6,976.06/x
  3. Step 3: Cross multiply
    25,695.72x = 38,546.15 × 6,976.06
  4. Step 4: Simplify right side
    25,695.72x = 268,900,255.17
  5. Step 5: Solve for x
    x = 268,900,255.17/25,695.72
  6. Step 6: Final answer
    x = 10,464.79

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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.