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Finding the Fourth Proportional to 9,794.20, 14,712.90 and 6,878.20

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Solution

The fourth proportional to 9,794.20, 14,712.90 and 6,878.20 is: 10,332.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,794.20 : 14,712.90 = 6,878.20 : x
  2. Step 2: Convert to fraction form
    9,794.20/14,712.90 = 6,878.20/x
  3. Step 3: Cross multiply
    9,794.20x = 14,712.90 × 6,878.20
  4. Step 4: Simplify right side
    9,794.20x = 101,198,268.78
  5. Step 5: Solve for x
    x = 101,198,268.78/9,794.20
  6. Step 6: Final answer
    x = 10,332.47

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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.