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Finding the Fourth Proportional to 6,503.14, 9,748.89 and 2,342.17

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Solution

The fourth proportional to 6,503.14, 9,748.89 and 2,342.17 is: 3,511.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,503.14 : 9,748.89 = 2,342.17 : x
  2. Step 2: Convert to fraction form
    6,503.14/9,748.89 = 2,342.17/x
  3. Step 3: Cross multiply
    6,503.14x = 9,748.89 × 2,342.17
  4. Step 4: Simplify right side
    6,503.14x = 22,833,557.69
  5. Step 5: Solve for x
    x = 22,833,557.69/6,503.14
  6. Step 6: Final answer
    x = 3,511.16

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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.