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Finding the Fourth Proportional to 7,471.55, 10,310.67 and 4,114.29

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Solution

The fourth proportional to 7,471.55, 10,310.67 and 4,114.29 is: 5,677.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,471.55 : 10,310.67 = 4,114.29 : x
  2. Step 2: Convert to fraction form
    7,471.55/10,310.67 = 4,114.29/x
  3. Step 3: Cross multiply
    7,471.55x = 10,310.67 × 4,114.29
  4. Step 4: Simplify right side
    7,471.55x = 42,421,067.14
  5. Step 5: Solve for x
    x = 42,421,067.14/7,471.55
  6. Step 6: Final answer
    x = 5,677.68

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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.