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Finding the Fourth Proportional to 7,240.77, 9,992.30 and 4,097.57

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Solution

The fourth proportional to 7,240.77, 9,992.30 and 4,097.57 is: 5,654.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,240.77 : 9,992.30 = 4,097.57 : x
  2. Step 2: Convert to fraction form
    7,240.77/9,992.30 = 4,097.57/x
  3. Step 3: Cross multiply
    7,240.77x = 9,992.30 × 4,097.57
  4. Step 4: Simplify right side
    7,240.77x = 40,944,078.26
  5. Step 5: Solve for x
    x = 40,944,078.26/7,240.77
  6. Step 6: Final answer
    x = 5,654.66

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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.