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Finding the Fourth Proportional to 6,495.43, 9,742.34 and 2,599.87

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Solution

The fourth proportional to 6,495.43, 9,742.34 and 2,599.87 is: 3,899.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,495.43 : 9,742.34 = 2,599.87 : x
  2. Step 2: Convert to fraction form
    6,495.43/9,742.34 = 2,599.87/x
  3. Step 3: Cross multiply
    6,495.43x = 9,742.34 × 2,599.87
  4. Step 4: Simplify right side
    6,495.43x = 25,328,817.50
  5. Step 5: Solve for x
    x = 25,328,817.50/6,495.43
  6. Step 6: Final answer
    x = 3,899.48

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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.