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Finding the Fourth Proportional to 7,309.80, 10,964.70 and 6,820.20

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Solution

The fourth proportional to 7,309.80, 10,964.70 and 6,820.20 is: 10,230.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,309.80 : 10,964.70 = 6,820.20 : x
  2. Step 2: Convert to fraction form
    7,309.80/10,964.70 = 6,820.20/x
  3. Step 3: Cross multiply
    7,309.80x = 10,964.70 × 6,820.20
  4. Step 4: Simplify right side
    7,309.80x = 74,781,446.94
  5. Step 5: Solve for x
    x = 74,781,446.94/7,309.80
  6. Step 6: Final answer
    x = 10,230.30

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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.