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Finding the Fourth Proportional to 12,101.57, 16,698.06 and 6,723.15

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Solution

The fourth proportional to 12,101.57, 16,698.06 and 6,723.15 is: 9,276.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,101.57 : 16,698.06 = 6,723.15 : x
  2. Step 2: Convert to fraction form
    12,101.57/16,698.06 = 6,723.15/x
  3. Step 3: Cross multiply
    12,101.57x = 16,698.06 × 6,723.15
  4. Step 4: Simplify right side
    12,101.57x = 112,263,562.09
  5. Step 5: Solve for x
    x = 112,263,562.09/12,101.57
  6. Step 6: Final answer
    x = 9,276.78

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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.