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Finding the Fourth Proportional to 6,465.68, 9,698.46 and 2,764.76

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Solution

The fourth proportional to 6,465.68, 9,698.46 and 2,764.76 is: 4,147.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,465.68 : 9,698.46 = 2,764.76 : x
  2. Step 2: Convert to fraction form
    6,465.68/9,698.46 = 2,764.76/x
  3. Step 3: Cross multiply
    6,465.68x = 9,698.46 × 2,764.76
  4. Step 4: Simplify right side
    6,465.68x = 26,813,914.27
  5. Step 5: Solve for x
    x = 26,813,914.27/6,465.68
  6. Step 6: Final answer
    x = 4,147.11

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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.