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Finding the Fourth Proportional to 6,646.50, 9,971.37 and 2,029.50

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Solution

The fourth proportional to 6,646.50, 9,971.37 and 2,029.50 is: 3,044.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,646.50 : 9,971.37 = 2,029.50 : x
  2. Step 2: Convert to fraction form
    6,646.50/9,971.37 = 2,029.50/x
  3. Step 3: Cross multiply
    6,646.50x = 9,971.37 × 2,029.50
  4. Step 4: Simplify right side
    6,646.50x = 20,236,895.42
  5. Step 5: Solve for x
    x = 20,236,895.42/6,646.50
  6. Step 6: Final answer
    x = 3,044.74

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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.