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Finding the Fourth Proportional to 12,150.86, 16,768.12 and 6,847.39

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Solution

The fourth proportional to 12,150.86, 16,768.12 and 6,847.39 is: 9,449.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,150.86 : 16,768.12 = 6,847.39 : x
  2. Step 2: Convert to fraction form
    12,150.86/16,768.12 = 6,847.39/x
  3. Step 3: Cross multiply
    12,150.86x = 16,768.12 × 6,847.39
  4. Step 4: Simplify right side
    12,150.86x = 114,817,739.13
  5. Step 5: Solve for x
    x = 114,817,739.13/12,150.86
  6. Step 6: Final answer
    x = 9,449.35

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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.