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Finding the Fourth Proportional to 7,697.25, 11,544.81 and 2,766.18

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Solution

The fourth proportional to 7,697.25, 11,544.81 and 2,766.18 is: 4,148.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,697.25 : 11,544.81 = 2,766.18 : x
  2. Step 2: Convert to fraction form
    7,697.25/11,544.81 = 2,766.18/x
  3. Step 3: Cross multiply
    7,697.25x = 11,544.81 × 2,766.18
  4. Step 4: Simplify right side
    7,697.25x = 31,935,022.53
  5. Step 5: Solve for x
    x = 31,935,022.53/7,697.25
  6. Step 6: Final answer
    x = 4,148.89

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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.