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Finding the Fourth Proportional to 8,494.86, 11,722.04 and 4,960.12

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Solution

The fourth proportional to 8,494.86, 11,722.04 and 4,960.12 is: 6,844.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,494.86 : 11,722.04 = 4,960.12 : x
  2. Step 2: Convert to fraction form
    8,494.86/11,722.04 = 4,960.12/x
  3. Step 3: Cross multiply
    8,494.86x = 11,722.04 × 4,960.12
  4. Step 4: Simplify right side
    8,494.86x = 58,142,725.47
  5. Step 5: Solve for x
    x = 58,142,725.47/8,494.86
  6. Step 6: Final answer
    x = 6,844.46

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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.