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Finding the Fourth Proportional to 6,957.95, 10,438.13 and 3,062.25

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Solution

The fourth proportional to 6,957.95, 10,438.13 and 3,062.25 is: 4,593.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,957.95 : 10,438.13 = 3,062.25 : x
  2. Step 2: Convert to fraction form
    6,957.95/10,438.13 = 3,062.25/x
  3. Step 3: Cross multiply
    6,957.95x = 10,438.13 × 3,062.25
  4. Step 4: Simplify right side
    6,957.95x = 31,964,163.59
  5. Step 5: Solve for x
    x = 31,964,163.59/6,957.95
  6. Step 6: Final answer
    x = 4,593.91

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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.