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Finding the Fourth Proportional to 6,411.40, 9,606.30 and 3,117.40

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Solution

The fourth proportional to 6,411.40, 9,606.30 and 3,117.40 is: 4,670.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,411.40 : 9,606.30 = 3,117.40 : x
  2. Step 2: Convert to fraction form
    6,411.40/9,606.30 = 3,117.40/x
  3. Step 3: Cross multiply
    6,411.40x = 9,606.30 × 3,117.40
  4. Step 4: Simplify right side
    6,411.40x = 29,946,679.62
  5. Step 5: Solve for x
    x = 29,946,679.62/6,411.40
  6. Step 6: Final answer
    x = 4,670.85

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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.