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Finding the Fourth Proportional to 6,461.63, 9,696.69 and 3,542

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Solution

The fourth proportional to 6,461.63, 9,696.69 and 3,542 is: 5,315.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,461.63 : 9,696.69 = 3,542 : x
  2. Step 2: Convert to fraction form
    6,461.63/9,696.69 = 3,542/x
  3. Step 3: Cross multiply
    6,461.63x = 9,696.69 × 3,542
  4. Step 4: Simplify right side
    6,461.63x = 34,345,675.98
  5. Step 5: Solve for x
    x = 34,345,675.98/6,461.63
  6. Step 6: Final answer
    x = 5,315.33

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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.