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Finding the Fourth Proportional to 6,497.03, 9,743.10 and 5,126.51

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Solution

The fourth proportional to 6,497.03, 9,743.10 and 5,126.51 is: 7,687.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,497.03 : 9,743.10 = 5,126.51 : x
  2. Step 2: Convert to fraction form
    6,497.03/9,743.10 = 5,126.51/x
  3. Step 3: Cross multiply
    6,497.03x = 9,743.10 × 5,126.51
  4. Step 4: Simplify right side
    6,497.03x = 49,948,099.58
  5. Step 5: Solve for x
    x = 49,948,099.58/6,497.03
  6. Step 6: Final answer
    x = 7,687.84

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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.