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Finding the Fourth Proportional to 8,005.77, 11,047.41 and 4,648.41

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Solution

The fourth proportional to 8,005.77, 11,047.41 and 4,648.41 is: 6,414.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,005.77 : 11,047.41 = 4,648.41 : x
  2. Step 2: Convert to fraction form
    8,005.77/11,047.41 = 4,648.41/x
  3. Step 3: Cross multiply
    8,005.77x = 11,047.41 × 4,648.41
  4. Step 4: Simplify right side
    8,005.77x = 51,352,891.12
  5. Step 5: Solve for x
    x = 51,352,891.12/8,005.77
  6. Step 6: Final answer
    x = 6,414.48

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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.