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Finding the Fourth Proportional to 6,506.92, 9,761.96 and 2,124.40

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Solution

The fourth proportional to 6,506.92, 9,761.96 and 2,124.40 is: 3,187.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,506.92 : 9,761.96 = 2,124.40 : x
  2. Step 2: Convert to fraction form
    6,506.92/9,761.96 = 2,124.40/x
  3. Step 3: Cross multiply
    6,506.92x = 9,761.96 × 2,124.40
  4. Step 4: Simplify right side
    6,506.92x = 20,738,307.82
  5. Step 5: Solve for x
    x = 20,738,307.82/6,506.92
  6. Step 6: Final answer
    x = 3,187.12

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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.