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Finding the Fourth Proportional to 6,405.66, 9,611.91 and 2,510.10

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Solution

The fourth proportional to 6,405.66, 9,611.91 and 2,510.10 is: 3,766.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,405.66 : 9,611.91 = 2,510.10 : x
  2. Step 2: Convert to fraction form
    6,405.66/9,611.91 = 2,510.10/x
  3. Step 3: Cross multiply
    6,405.66x = 9,611.91 × 2,510.10
  4. Step 4: Simplify right side
    6,405.66x = 24,126,855.29
  5. Step 5: Solve for x
    x = 24,126,855.29/6,405.66
  6. Step 6: Final answer
    x = 3,766.49

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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.