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Finding the Fourth Proportional to 10,189, 15,283.52 and 4,033

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Solution

The fourth proportional to 10,189, 15,283.52 and 4,033 is: 6,049.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,189 : 15,283.52 = 4,033 : x
  2. Step 2: Convert to fraction form
    10,189/15,283.52 = 4,033/x
  3. Step 3: Cross multiply
    10,189x = 15,283.52 × 4,033
  4. Step 4: Simplify right side
    10,189x = 61,638,436.16
  5. Step 5: Solve for x
    x = 61,638,436.16/10,189
  6. Step 6: Final answer
    x = 6,049.51

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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.