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Finding the Fourth Proportional to 6,411.99, 9,604.01 and 3,118.13

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Solution

The fourth proportional to 6,411.99, 9,604.01 and 3,118.13 is: 4,670.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,411.99 : 9,604.01 = 3,118.13 : x
  2. Step 2: Convert to fraction form
    6,411.99/9,604.01 = 3,118.13/x
  3. Step 3: Cross multiply
    6,411.99x = 9,604.01 × 3,118.13
  4. Step 4: Simplify right side
    6,411.99x = 29,946,551.70
  5. Step 5: Solve for x
    x = 29,946,551.70/6,411.99
  6. Step 6: Final answer
    x = 4,670.40

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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.