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Finding the Fourth Proportional to 6,271.98, 9,409.62 and 3,349.50

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Solution

The fourth proportional to 6,271.98, 9,409.62 and 3,349.50 is: 5,025.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,271.98 : 9,409.62 = 3,349.50 : x
  2. Step 2: Convert to fraction form
    6,271.98/9,409.62 = 3,349.50/x
  3. Step 3: Cross multiply
    6,271.98x = 9,409.62 × 3,349.50
  4. Step 4: Simplify right side
    6,271.98x = 31,517,522.19
  5. Step 5: Solve for x
    x = 31,517,522.19/6,271.98
  6. Step 6: Final answer
    x = 5,025.13

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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.