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Finding the Fourth Proportional to 7,851.44, 10,839.20 and 6,054.99

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Solution

The fourth proportional to 7,851.44, 10,839.20 and 6,054.99 is: 8,359.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,851.44 : 10,839.20 = 6,054.99 : x
  2. Step 2: Convert to fraction form
    7,851.44/10,839.20 = 6,054.99/x
  3. Step 3: Cross multiply
    7,851.44x = 10,839.20 × 6,054.99
  4. Step 4: Simplify right side
    7,851.44x = 65,631,217.33
  5. Step 5: Solve for x
    x = 65,631,217.33/7,851.44
  6. Step 6: Final answer
    x = 8,359.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.