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Finding the Fourth Proportional to 6,854.88, 9,451.44 and 5,437.92

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Solution

The fourth proportional to 6,854.88, 9,451.44 and 5,437.92 is: 7,497.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,854.88 : 9,451.44 = 5,437.92 : x
  2. Step 2: Convert to fraction form
    6,854.88/9,451.44 = 5,437.92/x
  3. Step 3: Cross multiply
    6,854.88x = 9,451.44 × 5,437.92
  4. Step 4: Simplify right side
    6,854.88x = 51,396,174.60
  5. Step 5: Solve for x
    x = 51,396,174.60/6,854.88
  6. Step 6: Final answer
    x = 7,497.75

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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.