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Finding the Fourth Proportional to 10,497.74, 15,749.44 and 3,924.59

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Solution

The fourth proportional to 10,497.74, 15,749.44 and 3,924.59 is: 5,887.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,497.74 : 15,749.44 = 3,924.59 : x
  2. Step 2: Convert to fraction form
    10,497.74/15,749.44 = 3,924.59/x
  3. Step 3: Cross multiply
    10,497.74x = 15,749.44 × 3,924.59
  4. Step 4: Simplify right side
    10,497.74x = 61,810,006.17
  5. Step 5: Solve for x
    x = 61,810,006.17/10,497.74
  6. Step 6: Final answer
    x = 5,887.94

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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.