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Finding the Fourth Proportional to 8,086, 11,159.20 and 4,901.48

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Solution

The fourth proportional to 8,086, 11,159.20 and 4,901.48 is: 6,764.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,086 : 11,159.20 = 4,901.48 : x
  2. Step 2: Convert to fraction form
    8,086/11,159.20 = 4,901.48/x
  3. Step 3: Cross multiply
    8,086x = 11,159.20 × 4,901.48
  4. Step 4: Simplify right side
    8,086x = 54,696,595.62
  5. Step 5: Solve for x
    x = 54,696,595.62/8,086
  6. Step 6: Final answer
    x = 6,764.36

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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.