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Finding the Fourth Proportional to 7,101.75, 9,800.46 and 3,957.96

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Solution

The fourth proportional to 7,101.75, 9,800.46 and 3,957.96 is: 5,462.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,101.75 : 9,800.46 = 3,957.96 : x
  2. Step 2: Convert to fraction form
    7,101.75/9,800.46 = 3,957.96/x
  3. Step 3: Cross multiply
    7,101.75x = 9,800.46 × 3,957.96
  4. Step 4: Simplify right side
    7,101.75x = 38,789,828.66
  5. Step 5: Solve for x
    x = 38,789,828.66/7,101.75
  6. Step 6: Final answer
    x = 5,462.01

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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.