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Finding the Fourth Proportional to 6,857.46, 9,463.25 and 3,713.63

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Solution

The fourth proportional to 6,857.46, 9,463.25 and 3,713.63 is: 5,124.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,857.46 : 9,463.25 = 3,713.63 : x
  2. Step 2: Convert to fraction form
    6,857.46/9,463.25 = 3,713.63/x
  3. Step 3: Cross multiply
    6,857.46x = 9,463.25 × 3,713.63
  4. Step 4: Simplify right side
    6,857.46x = 35,142,943.21
  5. Step 5: Solve for x
    x = 35,142,943.21/6,857.46
  6. Step 6: Final answer
    x = 5,124.78

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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.