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Finding the Fourth Proportional to 12,101.68, 16,699.68 and 6,796.48

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Solution

The fourth proportional to 12,101.68, 16,699.68 and 6,796.48 is: 9,378.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,101.68 : 16,699.68 = 6,796.48 : x
  2. Step 2: Convert to fraction form
    12,101.68/16,699.68 = 6,796.48/x
  3. Step 3: Cross multiply
    12,101.68x = 16,699.68 × 6,796.48
  4. Step 4: Simplify right side
    12,101.68x = 113,499,041.13
  5. Step 5: Solve for x
    x = 113,499,041.13/12,101.68
  6. Step 6: Final answer
    x = 9,378.78

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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.