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Finding the Fourth Proportional to 6,073.70, 9,113.27 and 3,476.63

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Solution

The fourth proportional to 6,073.70, 9,113.27 and 3,476.63 is: 5,216.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,073.70 : 9,113.27 = 3,476.63 : x
  2. Step 2: Convert to fraction form
    6,073.70/9,113.27 = 3,476.63/x
  3. Step 3: Cross multiply
    6,073.70x = 9,113.27 × 3,476.63
  4. Step 4: Simplify right side
    6,073.70x = 31,683,404.93
  5. Step 5: Solve for x
    x = 31,683,404.93/6,073.70
  6. Step 6: Final answer
    x = 5,216.50

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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.