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Finding the Fourth Proportional to 6,722.70, 9,268.93 and 5,713.44

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Solution

The fourth proportional to 6,722.70, 9,268.93 and 5,713.44 is: 7,877.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,722.70 : 9,268.93 = 5,713.44 : x
  2. Step 2: Convert to fraction form
    6,722.70/9,268.93 = 5,713.44/x
  3. Step 3: Cross multiply
    6,722.70x = 9,268.93 × 5,713.44
  4. Step 4: Simplify right side
    6,722.70x = 52,957,475.42
  5. Step 5: Solve for x
    x = 52,957,475.42/6,722.70
  6. Step 6: Final answer
    x = 7,877.41

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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.