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Finding the Fourth Proportional to 12,414.88, 17,130.48 and 7,382.08

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Solution

The fourth proportional to 12,414.88, 17,130.48 and 7,382.08 is: 10,186.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,414.88 : 17,130.48 = 7,382.08 : x
  2. Step 2: Convert to fraction form
    12,414.88/17,130.48 = 7,382.08/x
  3. Step 3: Cross multiply
    12,414.88x = 17,130.48 × 7,382.08
  4. Step 4: Simplify right side
    12,414.88x = 126,458,573.80
  5. Step 5: Solve for x
    x = 126,458,573.80/12,414.88
  6. Step 6: Final answer
    x = 10,186.05

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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.