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Finding the Fourth Proportional to 7,249.59, 10,003.82 and 4,894.92

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Solution

The fourth proportional to 7,249.59, 10,003.82 and 4,894.92 is: 6,754.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,249.59 : 10,003.82 = 4,894.92 : x
  2. Step 2: Convert to fraction form
    7,249.59/10,003.82 = 4,894.92/x
  3. Step 3: Cross multiply
    7,249.59x = 10,003.82 × 4,894.92
  4. Step 4: Simplify right side
    7,249.59x = 48,967,874.12
  5. Step 5: Solve for x
    x = 48,967,874.12/7,249.59
  6. Step 6: Final answer
    x = 6,754.57

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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.