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Finding the Fourth Proportional to 7,960.62, 11,882.55 and 7,026.57

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Solution

The fourth proportional to 7,960.62, 11,882.55 and 7,026.57 is: 10,488.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,960.62 : 11,882.55 = 7,026.57 : x
  2. Step 2: Convert to fraction form
    7,960.62/11,882.55 = 7,026.57/x
  3. Step 3: Cross multiply
    7,960.62x = 11,882.55 × 7,026.57
  4. Step 4: Simplify right side
    7,960.62x = 83,493,569.35
  5. Step 5: Solve for x
    x = 83,493,569.35/7,960.62
  6. Step 6: Final answer
    x = 10,488.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.