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Finding the Fourth Proportional to 6,851.88, 10,272.69 and 6,156.54

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Solution

The fourth proportional to 6,851.88, 10,272.69 and 6,156.54 is: 9,230.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,851.88 : 10,272.69 = 6,156.54 : x
  2. Step 2: Convert to fraction form
    6,851.88/10,272.69 = 6,156.54/x
  3. Step 3: Cross multiply
    6,851.88x = 10,272.69 × 6,156.54
  4. Step 4: Simplify right side
    6,851.88x = 63,244,226.89
  5. Step 5: Solve for x
    x = 63,244,226.89/6,851.88
  6. Step 6: Final answer
    x = 9,230.20

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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.