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Finding the Fourth Proportional to 6,411.50, 8,848.14 and 3,617

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Solution

The fourth proportional to 6,411.50, 8,848.14 and 3,617 is: 4,991.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,411.50 : 8,848.14 = 3,617 : x
  2. Step 2: Convert to fraction form
    6,411.50/8,848.14 = 3,617/x
  3. Step 3: Cross multiply
    6,411.50x = 8,848.14 × 3,617
  4. Step 4: Simplify right side
    6,411.50x = 32,003,722.38
  5. Step 5: Solve for x
    x = 32,003,722.38/6,411.50
  6. Step 6: Final answer
    x = 4,991.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.