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Finding the Fourth Proportional to 8,504.65, 12,694.55 and 7,878.41

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Solution

The fourth proportional to 8,504.65, 12,694.55 and 7,878.41 is: 11,759.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,504.65 : 12,694.55 = 7,878.41 : x
  2. Step 2: Convert to fraction form
    8,504.65/12,694.55 = 7,878.41/x
  3. Step 3: Cross multiply
    8,504.65x = 12,694.55 × 7,878.41
  4. Step 4: Simplify right side
    8,504.65x = 100,012,907.97
  5. Step 5: Solve for x
    x = 100,012,907.97/8,504.65
  6. Step 6: Final answer
    x = 11,759.80

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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.