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Finding the Fourth Proportional to 9,249.64, 12,764.28 and 5,057.80

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Solution

The fourth proportional to 9,249.64, 12,764.28 and 5,057.80 is: 6,979.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,249.64 : 12,764.28 = 5,057.80 : x
  2. Step 2: Convert to fraction form
    9,249.64/12,764.28 = 5,057.80/x
  3. Step 3: Cross multiply
    9,249.64x = 12,764.28 × 5,057.80
  4. Step 4: Simplify right side
    9,249.64x = 64,559,175.38
  5. Step 5: Solve for x
    x = 64,559,175.38/9,249.64
  6. Step 6: Final answer
    x = 6,979.64

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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.