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Finding the Fourth Proportional to 6,523.40, 9,770.70 and 3,921.80

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Solution

The fourth proportional to 6,523.40, 9,770.70 and 3,921.80 is: 5,874.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,523.40 : 9,770.70 = 3,921.80 : x
  2. Step 2: Convert to fraction form
    6,523.40/9,770.70 = 3,921.80/x
  3. Step 3: Cross multiply
    6,523.40x = 9,770.70 × 3,921.80
  4. Step 4: Simplify right side
    6,523.40x = 38,318,731.26
  5. Step 5: Solve for x
    x = 38,318,731.26/6,523.40
  6. Step 6: Final answer
    x = 5,874.04

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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.