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Finding the Fourth Proportional to 8,189.57, 11,301.61 and 4,463.57

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Solution

The fourth proportional to 8,189.57, 11,301.61 and 4,463.57 is: 6,159.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,189.57 : 11,301.61 = 4,463.57 : x
  2. Step 2: Convert to fraction form
    8,189.57/11,301.61 = 4,463.57/x
  3. Step 3: Cross multiply
    8,189.57x = 11,301.61 × 4,463.57
  4. Step 4: Simplify right side
    8,189.57x = 50,445,470.84
  5. Step 5: Solve for x
    x = 50,445,470.84/8,189.57
  6. Step 6: Final answer
    x = 6,159.73

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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.