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Finding the Fourth Proportional to 10,497.75, 15,748.25 and 3,924.87

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Solution

The fourth proportional to 10,497.75, 15,748.25 and 3,924.87 is: 5,887.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,497.75 : 15,748.25 = 3,924.87 : x
  2. Step 2: Convert to fraction form
    10,497.75/15,748.25 = 3,924.87/x
  3. Step 3: Cross multiply
    10,497.75x = 15,748.25 × 3,924.87
  4. Step 4: Simplify right side
    10,497.75x = 61,809,814.35
  5. Step 5: Solve for x
    x = 61,809,814.35/10,497.75
  6. Step 6: Final answer
    x = 5,887.91

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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.