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Finding the Fourth Proportional to 10,033.30, 15,050 and 4,113.42

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Solution

The fourth proportional to 10,033.30, 15,050 and 4,113.42 is: 6,170.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,033.30 : 15,050 = 4,113.42 : x
  2. Step 2: Convert to fraction form
    10,033.30/15,050 = 4,113.42/x
  3. Step 3: Cross multiply
    10,033.30x = 15,050 × 4,113.42
  4. Step 4: Simplify right side
    10,033.30x = 61,906,971
  5. Step 5: Solve for x
    x = 61,906,971/10,033.30
  6. Step 6: Final answer
    x = 6,170.15

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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.