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Finding the Fourth Proportional to 9,208.14, 13,820.78 and 6,578.20

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Solution

The fourth proportional to 9,208.14, 13,820.78 and 6,578.20 is: 9,873.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,208.14 : 13,820.78 = 6,578.20 : x
  2. Step 2: Convert to fraction form
    9,208.14/13,820.78 = 6,578.20/x
  3. Step 3: Cross multiply
    9,208.14x = 13,820.78 × 6,578.20
  4. Step 4: Simplify right side
    9,208.14x = 90,915,855.00
  5. Step 5: Solve for x
    x = 90,915,855.00/9,208.14
  6. Step 6: Final answer
    x = 9,873.42

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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.