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Finding the Fourth Proportional to 8,040.27, 11,097 and 4,502.82

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Solution

The fourth proportional to 8,040.27, 11,097 and 4,502.82 is: 6,214.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,040.27 : 11,097 = 4,502.82 : x
  2. Step 2: Convert to fraction form
    8,040.27/11,097 = 4,502.82/x
  3. Step 3: Cross multiply
    8,040.27x = 11,097 × 4,502.82
  4. Step 4: Simplify right side
    8,040.27x = 49,967,793.54
  5. Step 5: Solve for x
    x = 49,967,793.54/8,040.27
  6. Step 6: Final answer
    x = 6,214.69

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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.