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Finding the Fourth Proportional to 6,405, 9,611.28 and 2,706.99

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Solution

The fourth proportional to 6,405, 9,611.28 and 2,706.99 is: 4,062.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,405 : 9,611.28 = 2,706.99 : x
  2. Step 2: Convert to fraction form
    6,405/9,611.28 = 2,706.99/x
  3. Step 3: Cross multiply
    6,405x = 9,611.28 × 2,706.99
  4. Step 4: Simplify right side
    6,405x = 26,017,638.85
  5. Step 5: Solve for x
    x = 26,017,638.85/6,405
  6. Step 6: Final answer
    x = 4,062.08

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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.