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Finding the Fourth Proportional to 12,950.52, 19,384 and 6,701.94

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Solution

The fourth proportional to 12,950.52, 19,384 and 6,701.94 is: 10,031.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,950.52 : 19,384 = 6,701.94 : x
  2. Step 2: Convert to fraction form
    12,950.52/19,384 = 6,701.94/x
  3. Step 3: Cross multiply
    12,950.52x = 19,384 × 6,701.94
  4. Step 4: Simplify right side
    12,950.52x = 129,910,404.96
  5. Step 5: Solve for x
    x = 129,910,404.96/12,950.52
  6. Step 6: Final answer
    x = 10,031.29

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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.