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Finding the Fourth Proportional to 8,152.14, 11,249.94 and 4,426.14

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Solution

The fourth proportional to 8,152.14, 11,249.94 and 4,426.14 is: 6,108.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,152.14 : 11,249.94 = 4,426.14 : x
  2. Step 2: Convert to fraction form
    8,152.14/11,249.94 = 4,426.14/x
  3. Step 3: Cross multiply
    8,152.14x = 11,249.94 × 4,426.14
  4. Step 4: Simplify right side
    8,152.14x = 49,793,809.43
  5. Step 5: Solve for x
    x = 49,793,809.43/8,152.14
  6. Step 6: Final answer
    x = 6,108.07

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Half scale
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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.