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Finding the Fourth Proportional to 6,944.67, 10,454.20 and 6,230.25

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Solution

The fourth proportional to 6,944.67, 10,454.20 and 6,230.25 is: 9,378.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,944.67 : 10,454.20 = 6,230.25 : x
  2. Step 2: Convert to fraction form
    6,944.67/10,454.20 = 6,230.25/x
  3. Step 3: Cross multiply
    6,944.67x = 10,454.20 × 6,230.25
  4. Step 4: Simplify right side
    6,944.67x = 65,132,263.97
  5. Step 5: Solve for x
    x = 65,132,263.97/6,944.67
  6. Step 6: Final answer
    x = 9,378.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.