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Finding the Fourth Proportional to 6,598.53, 9,106.22 and 3,766.37

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Solution

The fourth proportional to 6,598.53, 9,106.22 and 3,766.37 is: 5,197.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,598.53 : 9,106.22 = 3,766.37 : x
  2. Step 2: Convert to fraction form
    6,598.53/9,106.22 = 3,766.37/x
  3. Step 3: Cross multiply
    6,598.53x = 9,106.22 × 3,766.37
  4. Step 4: Simplify right side
    6,598.53x = 34,297,357.71
  5. Step 5: Solve for x
    x = 34,297,357.71/6,598.53
  6. Step 6: Final answer
    x = 5,197.73

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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.