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Finding the Fourth Proportional to 10,578, 15,867 and 3,652.50

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Solution

The fourth proportional to 10,578, 15,867 and 3,652.50 is: 5,478.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,578 : 15,867 = 3,652.50 : x
  2. Step 2: Convert to fraction form
    10,578/15,867 = 3,652.50/x
  3. Step 3: Cross multiply
    10,578x = 15,867 × 3,652.50
  4. Step 4: Simplify right side
    10,578x = 57,954,217.50
  5. Step 5: Solve for x
    x = 57,954,217.50/10,578
  6. Step 6: Final answer
    x = 5,478.75

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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.