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Finding the Fourth Proportional to 8,191.91, 11,304.80 and 4,465.91

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Solution

The fourth proportional to 8,191.91, 11,304.80 and 4,465.91 is: 6,162.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,191.91 : 11,304.80 = 4,465.91 : x
  2. Step 2: Convert to fraction form
    8,191.91/11,304.80 = 4,465.91/x
  3. Step 3: Cross multiply
    8,191.91x = 11,304.80 × 4,465.91
  4. Step 4: Simplify right side
    8,191.91x = 50,486,174.01
  5. Step 5: Solve for x
    x = 50,486,174.01/8,191.91
  6. Step 6: Final answer
    x = 6,162.93

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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.