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Finding the Fourth Proportional to 6,998.64, 9,658.23 and 3,854.82

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Solution

The fourth proportional to 6,998.64, 9,658.23 and 3,854.82 is: 5,319.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,998.64 : 9,658.23 = 3,854.82 : x
  2. Step 2: Convert to fraction form
    6,998.64/9,658.23 = 3,854.82/x
  3. Step 3: Cross multiply
    6,998.64x = 9,658.23 × 3,854.82
  4. Step 4: Simplify right side
    6,998.64x = 37,230,738.17
  5. Step 5: Solve for x
    x = 37,230,738.17/6,998.64
  6. Step 6: Final answer
    x = 5,319.71

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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.