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Finding the Fourth Proportional to 8,470.88, 11,677.44 and 5,945.36

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Solution

The fourth proportional to 8,470.88, 11,677.44 and 5,945.36 is: 8,195.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,470.88 : 11,677.44 = 5,945.36 : x
  2. Step 2: Convert to fraction form
    8,470.88/11,677.44 = 5,945.36/x
  3. Step 3: Cross multiply
    8,470.88x = 11,677.44 × 5,945.36
  4. Step 4: Simplify right side
    8,470.88x = 69,426,584.68
  5. Step 5: Solve for x
    x = 69,426,584.68/8,470.88
  6. Step 6: Final answer
    x = 8,195.91

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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.