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Finding the Fourth Proportional to 6,610.10, 9,916.73 and 1,930.11

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Solution

The fourth proportional to 6,610.10, 9,916.73 and 1,930.11 is: 2,895.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,610.10 : 9,916.73 = 1,930.11 : x
  2. Step 2: Convert to fraction form
    6,610.10/9,916.73 = 1,930.11/x
  3. Step 3: Cross multiply
    6,610.10x = 9,916.73 × 1,930.11
  4. Step 4: Simplify right side
    6,610.10x = 19,140,370.09
  5. Step 5: Solve for x
    x = 19,140,370.09/6,610.10
  6. Step 6: Final answer
    x = 2,895.63

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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.