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Finding the Fourth Proportional to 6,274.08, 9,412 and 1,891.04

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Solution

The fourth proportional to 6,274.08, 9,412 and 1,891.04 is: 2,836.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,274.08 : 9,412 = 1,891.04 : x
  2. Step 2: Convert to fraction form
    6,274.08/9,412 = 1,891.04/x
  3. Step 3: Cross multiply
    6,274.08x = 9,412 × 1,891.04
  4. Step 4: Simplify right side
    6,274.08x = 17,798,468.48
  5. Step 5: Solve for x
    x = 17,798,468.48/6,274.08
  6. Step 6: Final answer
    x = 2,836.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.