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Finding the Fourth Proportional to 8,003.81, 11,046.26 and 4,645.90

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Solution

The fourth proportional to 8,003.81, 11,046.26 and 4,645.90 is: 6,411.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,003.81 : 11,046.26 = 4,645.90 : x
  2. Step 2: Convert to fraction form
    8,003.81/11,046.26 = 4,645.90/x
  3. Step 3: Cross multiply
    8,003.81x = 11,046.26 × 4,645.90
  4. Step 4: Simplify right side
    8,003.81x = 51,319,819.33
  5. Step 5: Solve for x
    x = 51,319,819.33/8,003.81
  6. Step 6: Final answer
    x = 6,411.92

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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.