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Finding the Fourth Proportional to 6,465.15, 9,697.73 and 2,766.15

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Solution

The fourth proportional to 6,465.15, 9,697.73 and 2,766.15 is: 4,149.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,465.15 : 9,697.73 = 2,766.15 : x
  2. Step 2: Convert to fraction form
    6,465.15/9,697.73 = 2,766.15/x
  3. Step 3: Cross multiply
    6,465.15x = 9,697.73 × 2,766.15
  4. Step 4: Simplify right side
    6,465.15x = 26,825,362.01
  5. Step 5: Solve for x
    x = 26,825,362.01/6,465.15
  6. Step 6: Final answer
    x = 4,149.23

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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.