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Finding the Fourth Proportional to 8,323.24, 11,462.82 and 6,913.12

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Solution

The fourth proportional to 8,323.24, 11,462.82 and 6,913.12 is: 9,520.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,323.24 : 11,462.82 = 6,913.12 : x
  2. Step 2: Convert to fraction form
    8,323.24/11,462.82 = 6,913.12/x
  3. Step 3: Cross multiply
    8,323.24x = 11,462.82 × 6,913.12
  4. Step 4: Simplify right side
    8,323.24x = 79,243,850.20
  5. Step 5: Solve for x
    x = 79,243,850.20/8,323.24
  6. Step 6: Final answer
    x = 9,520.79

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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.