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Finding the Fourth Proportional to 7,171.74, 10,753.97 and 3,472.07

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Solution

The fourth proportional to 7,171.74, 10,753.97 and 3,472.07 is: 5,206.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,171.74 : 10,753.97 = 3,472.07 : x
  2. Step 2: Convert to fraction form
    7,171.74/10,753.97 = 3,472.07/x
  3. Step 3: Cross multiply
    7,171.74x = 10,753.97 × 3,472.07
  4. Step 4: Simplify right side
    7,171.74x = 37,338,465.49
  5. Step 5: Solve for x
    x = 37,338,465.49/7,171.74
  6. Step 6: Final answer
    x = 5,206.33

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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.