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Finding the Fourth Proportional to 6,472.47, 9,708.42 and 2,960.46

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Solution

The fourth proportional to 6,472.47, 9,708.42 and 2,960.46 is: 4,440.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,472.47 : 9,708.42 = 2,960.46 : x
  2. Step 2: Convert to fraction form
    6,472.47/9,708.42 = 2,960.46/x
  3. Step 3: Cross multiply
    6,472.47x = 9,708.42 × 2,960.46
  4. Step 4: Simplify right side
    6,472.47x = 28,741,389.07
  5. Step 5: Solve for x
    x = 28,741,389.07/6,472.47
  6. Step 6: Final answer
    x = 4,440.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.