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Finding the Fourth Proportional to 6,402.50, 9,607.53 and 2,704.49

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Solution

The fourth proportional to 6,402.50, 9,607.53 and 2,704.49 is: 4,058.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,402.50 : 9,607.53 = 2,704.49 : x
  2. Step 2: Convert to fraction form
    6,402.50/9,607.53 = 2,704.49/x
  3. Step 3: Cross multiply
    6,402.50x = 9,607.53 × 2,704.49
  4. Step 4: Simplify right side
    6,402.50x = 25,983,468.81
  5. Step 5: Solve for x
    x = 25,983,468.81/6,402.50
  6. Step 6: Final answer
    x = 4,058.33

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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.