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Finding the Fourth Proportional to 15,997.76, 24,005.28 and 7,789.76

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Solution

The fourth proportional to 15,997.76, 24,005.28 and 7,789.76 is: 11,688.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,997.76 : 24,005.28 = 7,789.76 : x
  2. Step 2: Convert to fraction form
    15,997.76/24,005.28 = 7,789.76/x
  3. Step 3: Cross multiply
    15,997.76x = 24,005.28 × 7,789.76
  4. Step 4: Simplify right side
    15,997.76x = 186,995,369.93
  5. Step 5: Solve for x
    x = 186,995,369.93/15,997.76
  6. Step 6: Final answer
    x = 11,688.85

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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.