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Finding the Fourth Proportional to 6,570.40, 9,839.40 and 4,367.20

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Solution

The fourth proportional to 6,570.40, 9,839.40 and 4,367.20 is: 6,540.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,570.40 : 9,839.40 = 4,367.20 : x
  2. Step 2: Convert to fraction form
    6,570.40/9,839.40 = 4,367.20/x
  3. Step 3: Cross multiply
    6,570.40x = 9,839.40 × 4,367.20
  4. Step 4: Simplify right side
    6,570.40x = 42,970,627.68
  5. Step 5: Solve for x
    x = 42,970,627.68/6,570.40
  6. Step 6: Final answer
    x = 6,540.03

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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.