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Finding the Fourth Proportional to 7,195.67, 9,926.51 and 4,642.73

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Solution

The fourth proportional to 7,195.67, 9,926.51 and 4,642.73 is: 6,404.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,195.67 : 9,926.51 = 4,642.73 : x
  2. Step 2: Convert to fraction form
    7,195.67/9,926.51 = 4,642.73/x
  3. Step 3: Cross multiply
    7,195.67x = 9,926.51 × 4,642.73
  4. Step 4: Simplify right side
    7,195.67x = 46,086,067.75
  5. Step 5: Solve for x
    x = 46,086,067.75/7,195.67
  6. Step 6: Final answer
    x = 6,404.70

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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.