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Finding the Fourth Proportional to 10,292.50, 15,438.75 and 3,367

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Solution

The fourth proportional to 10,292.50, 15,438.75 and 3,367 is: 5,050.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,292.50 : 15,438.75 = 3,367 : x
  2. Step 2: Convert to fraction form
    10,292.50/15,438.75 = 3,367/x
  3. Step 3: Cross multiply
    10,292.50x = 15,438.75 × 3,367
  4. Step 4: Simplify right side
    10,292.50x = 51,982,271.25
  5. Step 5: Solve for x
    x = 51,982,271.25/10,292.50
  6. Step 6: Final answer
    x = 5,050.50

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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.