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Finding the Fourth Proportional to 8,189.29, 11,301.19 and 4,463.29

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Solution

The fourth proportional to 8,189.29, 11,301.19 and 4,463.29 is: 6,159.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,189.29 : 11,301.19 = 4,463.29 : x
  2. Step 2: Convert to fraction form
    8,189.29/11,301.19 = 4,463.29/x
  3. Step 3: Cross multiply
    8,189.29x = 11,301.19 × 4,463.29
  4. Step 4: Simplify right side
    8,189.29x = 50,440,488.32
  5. Step 5: Solve for x
    x = 50,440,488.32/8,189.29
  6. Step 6: Final answer
    x = 6,159.32

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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.