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Finding the Fourth Proportional to 6,709.48, 10,064.26 and 2,029.48

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Solution

The fourth proportional to 6,709.48, 10,064.26 and 2,029.48 is: 3,044.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,709.48 : 10,064.26 = 2,029.48 : x
  2. Step 2: Convert to fraction form
    6,709.48/10,064.26 = 2,029.48/x
  3. Step 3: Cross multiply
    6,709.48x = 10,064.26 × 2,029.48
  4. Step 4: Simplify right side
    6,709.48x = 20,425,214.38
  5. Step 5: Solve for x
    x = 20,425,214.38/6,709.48
  6. Step 6: Final answer
    x = 3,044.23

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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.