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Finding the Fourth Proportional to 8,001.09, 11,041.09 and 4,463.61

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Solution

The fourth proportional to 8,001.09, 11,041.09 and 4,463.61 is: 6,159.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,001.09 : 11,041.09 = 4,463.61 : x
  2. Step 2: Convert to fraction form
    8,001.09/11,041.09 = 4,463.61/x
  3. Step 3: Cross multiply
    8,001.09x = 11,041.09 × 4,463.61
  4. Step 4: Simplify right side
    8,001.09x = 49,283,119.73
  5. Step 5: Solve for x
    x = 49,283,119.73/8,001.09
  6. Step 6: Final answer
    x = 6,159.55

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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.