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Finding the Fourth Proportional to 7,471.34, 10,310.62 and 4,114.22

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Solution

The fourth proportional to 7,471.34, 10,310.62 and 4,114.22 is: 5,677.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,471.34 : 10,310.62 = 4,114.22 : x
  2. Step 2: Convert to fraction form
    7,471.34/10,310.62 = 4,114.22/x
  3. Step 3: Cross multiply
    7,471.34x = 10,310.62 × 4,114.22
  4. Step 4: Simplify right side
    7,471.34x = 42,420,159.02
  5. Step 5: Solve for x
    x = 42,420,159.02/7,471.34
  6. Step 6: Final answer
    x = 5,677.72

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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.