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Finding the Fourth Proportional to 10,273.50, 15,411.47 and 3,348

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Solution

The fourth proportional to 10,273.50, 15,411.47 and 3,348 is: 5,022.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,273.50 : 15,411.47 = 3,348 : x
  2. Step 2: Convert to fraction form
    10,273.50/15,411.47 = 3,348/x
  3. Step 3: Cross multiply
    10,273.50x = 15,411.47 × 3,348
  4. Step 4: Simplify right side
    10,273.50x = 51,597,584.82
  5. Step 5: Solve for x
    x = 51,597,584.82/10,273.50
  6. Step 6: Final answer
    x = 5,022.40

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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.