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Finding the Fourth Proportional to 4,243.74, 6,321.86 and 4,114.77

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Solution

The fourth proportional to 4,243.74, 6,321.86 and 4,114.77 is: 6,129.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,243.74 : 6,321.86 = 4,114.77 : x
  2. Step 2: Convert to fraction form
    4,243.74/6,321.86 = 4,114.77/x
  3. Step 3: Cross multiply
    4,243.74x = 6,321.86 × 4,114.77
  4. Step 4: Simplify right side
    4,243.74x = 26,012,979.30
  5. Step 5: Solve for x
    x = 26,012,979.30/4,243.74
  6. Step 6: Final answer
    x = 6,129.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.