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Finding the Fourth Proportional to 6,926.24, 9,568.32 and 5,993.12

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Solution

The fourth proportional to 6,926.24, 9,568.32 and 5,993.12 is: 8,279.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,926.24 : 9,568.32 = 5,993.12 : x
  2. Step 2: Convert to fraction form
    6,926.24/9,568.32 = 5,993.12/x
  3. Step 3: Cross multiply
    6,926.24x = 9,568.32 × 5,993.12
  4. Step 4: Simplify right side
    6,926.24x = 57,344,089.96
  5. Step 5: Solve for x
    x = 57,344,089.96/6,926.24
  6. Step 6: Final answer
    x = 8,279.25

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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.