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Finding the Fourth Proportional to 6,343.05, 9,514.60 and 1,726.05

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Solution

The fourth proportional to 6,343.05, 9,514.60 and 1,726.05 is: 2,589.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,343.05 : 9,514.60 = 1,726.05 : x
  2. Step 2: Convert to fraction form
    6,343.05/9,514.60 = 1,726.05/x
  3. Step 3: Cross multiply
    6,343.05x = 9,514.60 × 1,726.05
  4. Step 4: Simplify right side
    6,343.05x = 16,422,675.33
  5. Step 5: Solve for x
    x = 16,422,675.33/6,343.05
  6. Step 6: Final answer
    x = 2,589.08

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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.