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Finding the Fourth Proportional to 6,937.50, 10,408.05 and 2,495.01

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Solution

The fourth proportional to 6,937.50, 10,408.05 and 2,495.01 is: 3,743.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,937.50 : 10,408.05 = 2,495.01 : x
  2. Step 2: Convert to fraction form
    6,937.50/10,408.05 = 2,495.01/x
  3. Step 3: Cross multiply
    6,937.50x = 10,408.05 × 2,495.01
  4. Step 4: Simplify right side
    6,937.50x = 25,968,188.83
  5. Step 5: Solve for x
    x = 25,968,188.83/6,937.50
  6. Step 6: Final answer
    x = 3,743.16

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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.