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Finding the Fourth Proportional to 6,511.89, 9,764.19 and 2,611.74

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Solution

The fourth proportional to 6,511.89, 9,764.19 and 2,611.74 is: 3,916.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,511.89 : 9,764.19 = 2,611.74 : x
  2. Step 2: Convert to fraction form
    6,511.89/9,764.19 = 2,611.74/x
  3. Step 3: Cross multiply
    6,511.89x = 9,764.19 × 2,611.74
  4. Step 4: Simplify right side
    6,511.89x = 25,501,525.59
  5. Step 5: Solve for x
    x = 25,501,525.59/6,511.89
  6. Step 6: Final answer
    x = 3,916.15

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1.5x scale

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.