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Finding the Fourth Proportional to 6,957.09, 10,439.82 and 3,839.13

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Solution

The fourth proportional to 6,957.09, 10,439.82 and 3,839.13 is: 5,761.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,957.09 : 10,439.82 = 3,839.13 : x
  2. Step 2: Convert to fraction form
    6,957.09/10,439.82 = 3,839.13/x
  3. Step 3: Cross multiply
    6,957.09x = 10,439.82 × 3,839.13
  4. Step 4: Simplify right side
    6,957.09x = 40,079,826.16
  5. Step 5: Solve for x
    x = 40,079,826.16/6,957.09
  6. Step 6: Final answer
    x = 5,761.00

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1.5x scale

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.