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Finding the Fourth Proportional to 15,995.50, 24,001.89 and 7,787.50

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Solution

The fourth proportional to 15,995.50, 24,001.89 and 7,787.50 is: 11,685.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,995.50 : 24,001.89 = 7,787.50 : x
  2. Step 2: Convert to fraction form
    15,995.50/24,001.89 = 7,787.50/x
  3. Step 3: Cross multiply
    15,995.50x = 24,001.89 × 7,787.50
  4. Step 4: Simplify right side
    15,995.50x = 186,914,718.38
  5. Step 5: Solve for x
    x = 186,914,718.38/15,995.50
  6. Step 6: Final answer
    x = 11,685.46

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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.