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Finding the Fourth Proportional to 6,465.68, 8,923.46 and 3,813.33

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Solution

The fourth proportional to 6,465.68, 8,923.46 and 3,813.33 is: 5,262.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,465.68 : 8,923.46 = 3,813.33 : x
  2. Step 2: Convert to fraction form
    6,465.68/8,923.46 = 3,813.33/x
  3. Step 3: Cross multiply
    6,465.68x = 8,923.46 × 3,813.33
  4. Step 4: Simplify right side
    6,465.68x = 34,028,078.66
  5. Step 5: Solve for x
    x = 34,028,078.66/6,465.68
  6. Step 6: Final answer
    x = 5,262.88

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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.