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Finding the Fourth Proportional to 7,471.72, 10,313.70 and 6,072.04

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Solution

The fourth proportional to 7,471.72, 10,313.70 and 6,072.04 is: 8,381.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,471.72 : 10,313.70 = 6,072.04 : x
  2. Step 2: Convert to fraction form
    7,471.72/10,313.70 = 6,072.04/x
  3. Step 3: Cross multiply
    7,471.72x = 10,313.70 × 6,072.04
  4. Step 4: Simplify right side
    7,471.72x = 62,625,198.95
  5. Step 5: Solve for x
    x = 62,625,198.95/7,471.72
  6. Step 6: Final answer
    x = 8,381.63

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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.