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Finding the Fourth Proportional to 12,998.12, 17,932.74 and 7,405.88

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Solution

The fourth proportional to 12,998.12, 17,932.74 and 7,405.88 is: 10,217.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,998.12 : 17,932.74 = 7,405.88 : x
  2. Step 2: Convert to fraction form
    12,998.12/17,932.74 = 7,405.88/x
  3. Step 3: Cross multiply
    12,998.12x = 17,932.74 × 7,405.88
  4. Step 4: Simplify right side
    12,998.12x = 132,807,720.51
  5. Step 5: Solve for x
    x = 132,807,720.51/12,998.12
  6. Step 6: Final answer
    x = 10,217.46

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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.