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Finding the Fourth Proportional to 6,808.64, 10,163.57 and 6,710.22

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Solution

The fourth proportional to 6,808.64, 10,163.57 and 6,710.22 is: 10,016.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,808.64 : 10,163.57 = 6,710.22 : x
  2. Step 2: Convert to fraction form
    6,808.64/10,163.57 = 6,710.22/x
  3. Step 3: Cross multiply
    6,808.64x = 10,163.57 × 6,710.22
  4. Step 4: Simplify right side
    6,808.64x = 68,199,757.13
  5. Step 5: Solve for x
    x = 68,199,757.13/6,808.64
  6. Step 6: Final answer
    x = 10,016.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.