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Finding the Fourth Proportional to 6,957.65, 10,439.91 and 3,259.24

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Solution

The fourth proportional to 6,957.65, 10,439.91 and 3,259.24 is: 4,890.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,957.65 : 10,439.91 = 3,259.24 : x
  2. Step 2: Convert to fraction form
    6,957.65/10,439.91 = 3,259.24/x
  3. Step 3: Cross multiply
    6,957.65x = 10,439.91 × 3,259.24
  4. Step 4: Simplify right side
    6,957.65x = 34,026,155.97
  5. Step 5: Solve for x
    x = 34,026,155.97/6,957.65
  6. Step 6: Final answer
    x = 4,890.47

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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.