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Finding the Fourth Proportional to 7,249.62, 9,929.52 and 6,824.07

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Solution

The fourth proportional to 7,249.62, 9,929.52 and 6,824.07 is: 9,346.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,249.62 : 9,929.52 = 6,824.07 : x
  2. Step 2: Convert to fraction form
    7,249.62/9,929.52 = 6,824.07/x
  3. Step 3: Cross multiply
    7,249.62x = 9,929.52 × 6,824.07
  4. Step 4: Simplify right side
    7,249.62x = 67,759,739.55
  5. Step 5: Solve for x
    x = 67,759,739.55/7,249.62
  6. Step 6: Final answer
    x = 9,346.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.