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Finding the Fourth Proportional to 7,053.75, 9,734.38 and 3,910.14

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Solution

The fourth proportional to 7,053.75, 9,734.38 and 3,910.14 is: 5,396.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,053.75 : 9,734.38 = 3,910.14 : x
  2. Step 2: Convert to fraction form
    7,053.75/9,734.38 = 3,910.14/x
  3. Step 3: Cross multiply
    7,053.75x = 9,734.38 × 3,910.14
  4. Step 4: Simplify right side
    7,053.75x = 38,062,778.84
  5. Step 5: Solve for x
    x = 38,062,778.84/7,053.75
  6. Step 6: Final answer
    x = 5,396.11

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1.5x scale

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.