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Finding the Fourth Proportional to 8,983.45, 13,482.24 and 6,229.50

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Solution

The fourth proportional to 8,983.45, 13,482.24 and 6,229.50 is: 9,349.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,983.45 : 13,482.24 = 6,229.50 : x
  2. Step 2: Convert to fraction form
    8,983.45/13,482.24 = 6,229.50/x
  3. Step 3: Cross multiply
    8,983.45x = 13,482.24 × 6,229.50
  4. Step 4: Simplify right side
    8,983.45x = 83,987,614.08
  5. Step 5: Solve for x
    x = 83,987,614.08/8,983.45
  6. Step 6: Final answer
    x = 9,349.15

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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.