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Finding the Fourth Proportional to 6,857.66, 9,463.62 and 3,713.85

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Solution

The fourth proportional to 6,857.66, 9,463.62 and 3,713.85 is: 5,125.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,857.66 : 9,463.62 = 3,713.85 : x
  2. Step 2: Convert to fraction form
    6,857.66/9,463.62 = 3,713.85/x
  3. Step 3: Cross multiply
    6,857.66x = 9,463.62 × 3,713.85
  4. Step 4: Simplify right side
    6,857.66x = 35,146,465.14
  5. Step 5: Solve for x
    x = 35,146,465.14/6,857.66
  6. Step 6: Final answer
    x = 5,125.14

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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.