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Finding the Fourth Proportional to 6,729.53, 9,281.52 and 5,974.10

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Solution

The fourth proportional to 6,729.53, 9,281.52 and 5,974.10 is: 8,239.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,729.53 : 9,281.52 = 5,974.10 : x
  2. Step 2: Convert to fraction form
    6,729.53/9,281.52 = 5,974.10/x
  3. Step 3: Cross multiply
    6,729.53x = 9,281.52 × 5,974.10
  4. Step 4: Simplify right side
    6,729.53x = 55,448,717.03
  5. Step 5: Solve for x
    x = 55,448,717.03/6,729.53
  6. Step 6: Final answer
    x = 8,239.62

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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.