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Finding the Fourth Proportional to 7,872.69, 10,864.49 and 4,336.10

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Solution

The fourth proportional to 7,872.69, 10,864.49 and 4,336.10 is: 5,983.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,872.69 : 10,864.49 = 4,336.10 : x
  2. Step 2: Convert to fraction form
    7,872.69/10,864.49 = 4,336.10/x
  3. Step 3: Cross multiply
    7,872.69x = 10,864.49 × 4,336.10
  4. Step 4: Simplify right side
    7,872.69x = 47,109,515.09
  5. Step 5: Solve for x
    x = 47,109,515.09/7,872.69
  6. Step 6: Final answer
    x = 5,983.92

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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.