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Finding the Fourth Proportional to 6,767.15, 9,333.95 and 6,209.46

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Solution

The fourth proportional to 6,767.15, 9,333.95 and 6,209.46 is: 8,564.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,767.15 : 9,333.95 = 6,209.46 : x
  2. Step 2: Convert to fraction form
    6,767.15/9,333.95 = 6,209.46/x
  3. Step 3: Cross multiply
    6,767.15x = 9,333.95 × 6,209.46
  4. Step 4: Simplify right side
    6,767.15x = 57,958,758.12
  5. Step 5: Solve for x
    x = 57,958,758.12/6,767.15
  6. Step 6: Final answer
    x = 8,564.73

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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.