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Finding the Fourth Proportional to 9,410.73, 12,996.09 and 7,418.13

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Solution

The fourth proportional to 9,410.73, 12,996.09 and 7,418.13 is: 10,244.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,410.73 : 12,996.09 = 7,418.13 : x
  2. Step 2: Convert to fraction form
    9,410.73/12,996.09 = 7,418.13/x
  3. Step 3: Cross multiply
    9,410.73x = 12,996.09 × 7,418.13
  4. Step 4: Simplify right side
    9,410.73x = 96,406,685.11
  5. Step 5: Solve for x
    x = 96,406,685.11/9,410.73
  6. Step 6: Final answer
    x = 10,244.34

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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.