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Finding the Fourth Proportional to 5,471.76, 7,551.42 and 3,114.66

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Solution

The fourth proportional to 5,471.76, 7,551.42 and 3,114.66 is: 4,298.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,471.76 : 7,551.42 = 3,114.66 : x
  2. Step 2: Convert to fraction form
    5,471.76/7,551.42 = 3,114.66/x
  3. Step 3: Cross multiply
    5,471.76x = 7,551.42 × 3,114.66
  4. Step 4: Simplify right side
    5,471.76x = 23,520,105.82
  5. Step 5: Solve for x
    x = 23,520,105.82/5,471.76
  6. Step 6: Final answer
    x = 4,298.45

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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.