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Finding the Fourth Proportional to 8,429.54, 12,641.58 and 2,805.71

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Solution

The fourth proportional to 8,429.54, 12,641.58 and 2,805.71 is: 4,207.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,429.54 : 12,641.58 = 2,805.71 : x
  2. Step 2: Convert to fraction form
    8,429.54/12,641.58 = 2,805.71/x
  3. Step 3: Cross multiply
    8,429.54x = 12,641.58 × 2,805.71
  4. Step 4: Simplify right side
    8,429.54x = 35,468,544.21
  5. Step 5: Solve for x
    x = 35,468,544.21/8,429.54
  6. Step 6: Final answer
    x = 4,207.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.