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Finding the Fourth Proportional to 7,882.75, 10,878.28 and 4,346.09

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Solution

The fourth proportional to 7,882.75, 10,878.28 and 4,346.09 is: 5,997.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,882.75 : 10,878.28 = 4,346.09 : x
  2. Step 2: Convert to fraction form
    7,882.75/10,878.28 = 4,346.09/x
  3. Step 3: Cross multiply
    7,882.75x = 10,878.28 × 4,346.09
  4. Step 4: Simplify right side
    7,882.75x = 47,277,907.80
  5. Step 5: Solve for x
    x = 47,277,907.80/7,882.75
  6. Step 6: Final answer
    x = 5,997.64

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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.