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Finding the Fourth Proportional to 8,632, 12,950.16 and 3,699.20

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Solution

The fourth proportional to 8,632, 12,950.16 and 3,699.20 is: 5,549.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,632 : 12,950.16 = 3,699.20 : x
  2. Step 2: Convert to fraction form
    8,632/12,950.16 = 3,699.20/x
  3. Step 3: Cross multiply
    8,632x = 12,950.16 × 3,699.20
  4. Step 4: Simplify right side
    8,632x = 47,905,231.87
  5. Step 5: Solve for x
    x = 47,905,231.87/8,632
  6. Step 6: Final answer
    x = 5,549.73

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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.