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Finding the Fourth Proportional to 6,098.37, 9,144.32 and 2,808.66

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Solution

The fourth proportional to 6,098.37, 9,144.32 and 2,808.66 is: 4,211.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,098.37 : 9,144.32 = 2,808.66 : x
  2. Step 2: Convert to fraction form
    6,098.37/9,144.32 = 2,808.66/x
  3. Step 3: Cross multiply
    6,098.37x = 9,144.32 × 2,808.66
  4. Step 4: Simplify right side
    6,098.37x = 25,683,271.77
  5. Step 5: Solve for x
    x = 25,683,271.77/6,098.37
  6. Step 6: Final answer
    x = 4,211.50

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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.