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Finding the Fourth Proportional to 7,666.09, 11,507.17 and 6,794.17

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Solution

The fourth proportional to 7,666.09, 11,507.17 and 6,794.17 is: 10,198.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,666.09 : 11,507.17 = 6,794.17 : x
  2. Step 2: Convert to fraction form
    7,666.09/11,507.17 = 6,794.17/x
  3. Step 3: Cross multiply
    7,666.09x = 11,507.17 × 6,794.17
  4. Step 4: Simplify right side
    7,666.09x = 78,181,669.20
  5. Step 5: Solve for x
    x = 78,181,669.20/7,666.09
  6. Step 6: Final answer
    x = 10,198.38

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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.