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Finding the Fourth Proportional to 10,101.90, 15,146.02 and 3,524.50

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Solution

The fourth proportional to 10,101.90, 15,146.02 and 3,524.50 is: 5,284.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,101.90 : 15,146.02 = 3,524.50 : x
  2. Step 2: Convert to fraction form
    10,101.90/15,146.02 = 3,524.50/x
  3. Step 3: Cross multiply
    10,101.90x = 15,146.02 × 3,524.50
  4. Step 4: Simplify right side
    10,101.90x = 53,382,147.49
  5. Step 5: Solve for x
    x = 53,382,147.49/10,101.90
  6. Step 6: Final answer
    x = 5,284.37

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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.