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Finding the Fourth Proportional to 10,097.81, 15,153.64 and 3,524

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Solution

The fourth proportional to 10,097.81, 15,153.64 and 3,524 is: 5,288.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,097.81 : 15,153.64 = 3,524 : x
  2. Step 2: Convert to fraction form
    10,097.81/15,153.64 = 3,524/x
  3. Step 3: Cross multiply
    10,097.81x = 15,153.64 × 3,524
  4. Step 4: Simplify right side
    10,097.81x = 53,401,427.36
  5. Step 5: Solve for x
    x = 53,401,427.36/10,097.81
  6. Step 6: Final answer
    x = 5,288.42

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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.