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Finding the Fourth Proportional to 8,049.78, 11,109.42 and 4,693.68

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Solution

The fourth proportional to 8,049.78, 11,109.42 and 4,693.68 is: 6,477.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,049.78 : 11,109.42 = 4,693.68 : x
  2. Step 2: Convert to fraction form
    8,049.78/11,109.42 = 4,693.68/x
  3. Step 3: Cross multiply
    8,049.78x = 11,109.42 × 4,693.68
  4. Step 4: Simplify right side
    8,049.78x = 52,144,062.47
  5. Step 5: Solve for x
    x = 52,144,062.47/8,049.78
  6. Step 6: Final answer
    x = 6,477.70

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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.