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Finding the Fourth Proportional to 7,872.67, 10,864.15 and 4,336.21

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Solution

The fourth proportional to 7,872.67, 10,864.15 and 4,336.21 is: 5,983.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,872.67 : 10,864.15 = 4,336.21 : x
  2. Step 2: Convert to fraction form
    7,872.67/10,864.15 = 4,336.21/x
  3. Step 3: Cross multiply
    7,872.67x = 10,864.15 × 4,336.21
  4. Step 4: Simplify right side
    7,872.67x = 47,109,235.87
  5. Step 5: Solve for x
    x = 47,109,235.87/7,872.67
  6. Step 6: Final answer
    x = 5,983.90

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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.