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Finding the Fourth Proportional to 7,875.11, 11,813.09 and 3,194.42

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Solution

The fourth proportional to 7,875.11, 11,813.09 and 3,194.42 is: 4,791.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,875.11 : 11,813.09 = 3,194.42 : x
  2. Step 2: Convert to fraction form
    7,875.11/11,813.09 = 3,194.42/x
  3. Step 3: Cross multiply
    7,875.11x = 11,813.09 × 3,194.42
  4. Step 4: Simplify right side
    7,875.11x = 37,736,008.48
  5. Step 5: Solve for x
    x = 37,736,008.48/7,875.11
  6. Step 6: Final answer
    x = 4,791.81

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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.