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Finding the Fourth Proportional to 6,851.50, 9,474.51 and 6,542.08

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Solution

The fourth proportional to 6,851.50, 9,474.51 and 6,542.08 is: 9,046.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,851.50 : 9,474.51 = 6,542.08 : x
  2. Step 2: Convert to fraction form
    6,851.50/9,474.51 = 6,542.08/x
  3. Step 3: Cross multiply
    6,851.50x = 9,474.51 × 6,542.08
  4. Step 4: Simplify right side
    6,851.50x = 61,983,002.38
  5. Step 5: Solve for x
    x = 61,983,002.38/6,851.50
  6. Step 6: Final answer
    x = 9,046.63

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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.