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Finding the Fourth Proportional to 8,192.11, 11,293.65 and 6,928.08

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Solution

The fourth proportional to 8,192.11, 11,293.65 and 6,928.08 is: 9,551.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,192.11 : 11,293.65 = 6,928.08 : x
  2. Step 2: Convert to fraction form
    8,192.11/11,293.65 = 6,928.08/x
  3. Step 3: Cross multiply
    8,192.11x = 11,293.65 × 6,928.08
  4. Step 4: Simplify right side
    8,192.11x = 78,243,310.69
  5. Step 5: Solve for x
    x = 78,243,310.69/8,192.11
  6. Step 6: Final answer
    x = 9,551.06

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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.