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Finding the Fourth Proportional to 8,301.78, 11,471.03 and 6,636.93

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Solution

The fourth proportional to 8,301.78, 11,471.03 and 6,636.93 is: 9,170.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,301.78 : 11,471.03 = 6,636.93 : x
  2. Step 2: Convert to fraction form
    8,301.78/11,471.03 = 6,636.93/x
  3. Step 3: Cross multiply
    8,301.78x = 11,471.03 × 6,636.93
  4. Step 4: Simplify right side
    8,301.78x = 76,132,382.38
  5. Step 5: Solve for x
    x = 76,132,382.38/8,301.78
  6. Step 6: Final answer
    x = 9,170.62

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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.