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Finding the Fourth Proportional to 8,005.41, 11,050.49 and 6,299.49

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Solution

The fourth proportional to 8,005.41, 11,050.49 and 6,299.49 is: 8,695.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,005.41 : 11,050.49 = 6,299.49 : x
  2. Step 2: Convert to fraction form
    8,005.41/11,050.49 = 6,299.49/x
  3. Step 3: Cross multiply
    8,005.41x = 11,050.49 × 6,299.49
  4. Step 4: Simplify right side
    8,005.41x = 69,612,451.25
  5. Step 5: Solve for x
    x = 69,612,451.25/8,005.41
  6. Step 6: Final answer
    x = 8,695.68

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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.