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Finding the Fourth Proportional to 8,186.86, 11,294 and 5,535.20

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Solution

The fourth proportional to 8,186.86, 11,294 and 5,535.20 is: 7,635.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,186.86 : 11,294 = 5,535.20 : x
  2. Step 2: Convert to fraction form
    8,186.86/11,294 = 5,535.20/x
  3. Step 3: Cross multiply
    8,186.86x = 11,294 × 5,535.20
  4. Step 4: Simplify right side
    8,186.86x = 62,514,548.80
  5. Step 5: Solve for x
    x = 62,514,548.80/8,186.86
  6. Step 6: Final answer
    x = 7,635.96

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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.