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Finding the Fourth Proportional to 6,857.60, 9,463.46 and 3,713.78

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Solution

The fourth proportional to 6,857.60, 9,463.46 and 3,713.78 is: 5,125.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,857.60 : 9,463.46 = 3,713.78 : x
  2. Step 2: Convert to fraction form
    6,857.60/9,463.46 = 3,713.78/x
  3. Step 3: Cross multiply
    6,857.60x = 9,463.46 × 3,713.78
  4. Step 4: Simplify right side
    6,857.60x = 35,145,208.48
  5. Step 5: Solve for x
    x = 35,145,208.48/6,857.60
  6. Step 6: Final answer
    x = 5,125.00

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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.