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Finding the Fourth Proportional to 8,101, 11,184.24 and 5,311.36

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Solution

The fourth proportional to 8,101, 11,184.24 and 5,311.36 is: 7,332.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,101 : 11,184.24 = 5,311.36 : x
  2. Step 2: Convert to fraction form
    8,101/11,184.24 = 5,311.36/x
  3. Step 3: Cross multiply
    8,101x = 11,184.24 × 5,311.36
  4. Step 4: Simplify right side
    8,101x = 59,403,524.97
  5. Step 5: Solve for x
    x = 59,403,524.97/8,101
  6. Step 6: Final answer
    x = 7,332.86

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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.