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Finding the Fourth Proportional to 8,001.96, 11,042.64 and 4,464.96

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Solution

The fourth proportional to 8,001.96, 11,042.64 and 4,464.96 is: 6,161.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,001.96 : 11,042.64 = 4,464.96 : x
  2. Step 2: Convert to fraction form
    8,001.96/11,042.64 = 4,464.96/x
  3. Step 3: Cross multiply
    8,001.96x = 11,042.64 × 4,464.96
  4. Step 4: Simplify right side
    8,001.96x = 49,304,945.89
  5. Step 5: Solve for x
    x = 49,304,945.89/8,001.96
  6. Step 6: Final answer
    x = 6,161.61

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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.