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Finding the Fourth Proportional to 4,094.71, 6,142.01 and 2,451.71

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Solution

The fourth proportional to 4,094.71, 6,142.01 and 2,451.71 is: 3,677.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,094.71 : 6,142.01 = 2,451.71 : x
  2. Step 2: Convert to fraction form
    4,094.71/6,142.01 = 2,451.71/x
  3. Step 3: Cross multiply
    4,094.71x = 6,142.01 × 2,451.71
  4. Step 4: Simplify right side
    4,094.71x = 15,058,427.34
  5. Step 5: Solve for x
    x = 15,058,427.34/4,094.71
  6. Step 6: Final answer
    x = 3,677.53

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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.