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Finding the Fourth Proportional to 6,992.89, 9,642.31 and 5,101.14

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Solution

The fourth proportional to 6,992.89, 9,642.31 and 5,101.14 is: 7,033.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,992.89 : 9,642.31 = 5,101.14 : x
  2. Step 2: Convert to fraction form
    6,992.89/9,642.31 = 5,101.14/x
  3. Step 3: Cross multiply
    6,992.89x = 9,642.31 × 5,101.14
  4. Step 4: Simplify right side
    6,992.89x = 49,186,773.23
  5. Step 5: Solve for x
    x = 49,186,773.23/6,992.89
  6. Step 6: Final answer
    x = 7,033.83

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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.