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Finding the Fourth Proportional to 6,766.00, 9,337.01 and 3,782.14

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Solution

The fourth proportional to 6,766.00, 9,337.01 and 3,782.14 is: 5,219.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,766.00 : 9,337.01 = 3,782.14 : x
  2. Step 2: Convert to fraction form
    6,766.00/9,337.01 = 3,782.14/x
  3. Step 3: Cross multiply
    6,766.00x = 9,337.01 × 3,782.14
  4. Step 4: Simplify right side
    6,766.00x = 35,313,836.75
  5. Step 5: Solve for x
    x = 35,313,836.75/6,766.00
  6. Step 6: Final answer
    x = 5,219.31

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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.