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Finding the Fourth Proportional to 5,001, 7,494.48 and 2,077.44

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Solution

The fourth proportional to 5,001, 7,494.48 and 2,077.44 is: 3,113.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,001 : 7,494.48 = 2,077.44 : x
  2. Step 2: Convert to fraction form
    5,001/7,494.48 = 2,077.44/x
  3. Step 3: Cross multiply
    5,001x = 7,494.48 × 2,077.44
  4. Step 4: Simplify right side
    5,001x = 15,569,332.53
  5. Step 5: Solve for x
    x = 15,569,332.53/5,001
  6. Step 6: Final answer
    x = 3,113.24

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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.