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Finding the Fourth Proportional to 4,159.72, 6,243.42 and 4,064.68

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Solution

The fourth proportional to 4,159.72, 6,243.42 and 4,064.68 is: 6,100.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,159.72 : 6,243.42 = 4,064.68 : x
  2. Step 2: Convert to fraction form
    4,159.72/6,243.42 = 4,064.68/x
  3. Step 3: Cross multiply
    4,159.72x = 6,243.42 × 4,064.68
  4. Step 4: Simplify right side
    4,159.72x = 25,377,504.41
  5. Step 5: Solve for x
    x = 25,377,504.41/4,159.72
  6. Step 6: Final answer
    x = 6,100.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.