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Finding the Fourth Proportional to 9,249.42, 12,764.22 and 5,057.64

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Solution

The fourth proportional to 9,249.42, 12,764.22 and 5,057.64 is: 6,979.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,249.42 : 12,764.22 = 5,057.64 : x
  2. Step 2: Convert to fraction form
    9,249.42/12,764.22 = 5,057.64/x
  3. Step 3: Cross multiply
    9,249.42x = 12,764.22 × 5,057.64
  4. Step 4: Simplify right side
    9,249.42x = 64,556,829.64
  5. Step 5: Solve for x
    x = 64,556,829.64/9,249.42
  6. Step 6: Final answer
    x = 6,979.55

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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.