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Finding the Fourth Proportional to 5,411.70, 7,471.62 and 4,419.36

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Solution

The fourth proportional to 5,411.70, 7,471.62 and 4,419.36 is: 6,101.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,411.70 : 7,471.62 = 4,419.36 : x
  2. Step 2: Convert to fraction form
    5,411.70/7,471.62 = 4,419.36/x
  3. Step 3: Cross multiply
    5,411.70x = 7,471.62 × 4,419.36
  4. Step 4: Simplify right side
    5,411.70x = 33,019,778.56
  5. Step 5: Solve for x
    x = 33,019,778.56/5,411.70
  6. Step 6: Final answer
    x = 6,101.55

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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.