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Finding the Fourth Proportional to 6,367.72, 9,549.96 and 2,470

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Solution

The fourth proportional to 6,367.72, 9,549.96 and 2,470 is: 3,704.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,367.72 : 9,549.96 = 2,470 : x
  2. Step 2: Convert to fraction form
    6,367.72/9,549.96 = 2,470/x
  3. Step 3: Cross multiply
    6,367.72x = 9,549.96 × 2,470
  4. Step 4: Simplify right side
    6,367.72x = 23,588,401.20
  5. Step 5: Solve for x
    x = 23,588,401.20/6,367.72
  6. Step 6: Final answer
    x = 3,704.37

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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.