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Finding the Fourth Proportional to 6,578.80, 9,866.88 and 4,235.04

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Solution

The fourth proportional to 6,578.80, 9,866.88 and 4,235.04 is: 6,351.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,578.80 : 9,866.88 = 4,235.04 : x
  2. Step 2: Convert to fraction form
    6,578.80/9,866.88 = 4,235.04/x
  3. Step 3: Cross multiply
    6,578.80x = 9,866.88 × 4,235.04
  4. Step 4: Simplify right side
    6,578.80x = 41,786,631.48
  5. Step 5: Solve for x
    x = 41,786,631.48/6,578.80
  6. Step 6: Final answer
    x = 6,351.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.