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Finding the Fourth Proportional to 6,809.40, 10,214.10 and 6,766.20

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Solution

The fourth proportional to 6,809.40, 10,214.10 and 6,766.20 is: 10,149.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,809.40 : 10,214.10 = 6,766.20 : x
  2. Step 2: Convert to fraction form
    6,809.40/10,214.10 = 6,766.20/x
  3. Step 3: Cross multiply
    6,809.40x = 10,214.10 × 6,766.20
  4. Step 4: Simplify right side
    6,809.40x = 69,110,643.42
  5. Step 5: Solve for x
    x = 69,110,643.42/6,809.40
  6. Step 6: Final answer
    x = 10,149.30

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Similar ratio
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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.