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Finding the Fourth Proportional to 6,296.12, 9,443.10 and 1,913.31

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Solution

The fourth proportional to 6,296.12, 9,443.10 and 1,913.31 is: 2,869.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,296.12 : 9,443.10 = 1,913.31 : x
  2. Step 2: Convert to fraction form
    6,296.12/9,443.10 = 1,913.31/x
  3. Step 3: Cross multiply
    6,296.12x = 9,443.10 × 1,913.31
  4. Step 4: Simplify right side
    6,296.12x = 18,067,577.66
  5. Step 5: Solve for x
    x = 18,067,577.66/6,296.12
  6. Step 6: Final answer
    x = 2,869.64

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1.5x scale

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.