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Finding the Fourth Proportional to 6,957.43, 10,374.09 and 6,184.69

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Solution

The fourth proportional to 6,957.43, 10,374.09 and 6,184.69 is: 9,221.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,957.43 : 10,374.09 = 6,184.69 : x
  2. Step 2: Convert to fraction form
    6,957.43/10,374.09 = 6,184.69/x
  3. Step 3: Cross multiply
    6,957.43x = 10,374.09 × 6,184.69
  4. Step 4: Simplify right side
    6,957.43x = 64,160,530.68
  5. Step 5: Solve for x
    x = 64,160,530.68/6,957.43
  6. Step 6: Final answer
    x = 9,221.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.