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Finding the Fourth Proportional to 15,995.76, 24,002.28 and 7,787.76

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Solution

The fourth proportional to 15,995.76, 24,002.28 and 7,787.76 is: 11,685.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,995.76 : 24,002.28 = 7,787.76 : x
  2. Step 2: Convert to fraction form
    15,995.76/24,002.28 = 7,787.76/x
  3. Step 3: Cross multiply
    15,995.76x = 24,002.28 × 7,787.76
  4. Step 4: Simplify right side
    15,995.76x = 186,923,996.09
  5. Step 5: Solve for x
    x = 186,923,996.09/15,995.76
  6. Step 6: Final answer
    x = 11,685.85

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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.