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Finding the Fourth Proportional to 10,565.87, 15,851.43 and 3,170.48

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Solution

The fourth proportional to 10,565.87, 15,851.43 and 3,170.48 is: 4,756.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,565.87 : 15,851.43 = 3,170.48 : x
  2. Step 2: Convert to fraction form
    10,565.87/15,851.43 = 3,170.48/x
  3. Step 3: Cross multiply
    10,565.87x = 15,851.43 × 3,170.48
  4. Step 4: Simplify right side
    10,565.87x = 50,256,562.53
  5. Step 5: Solve for x
    x = 50,256,562.53/10,565.87
  6. Step 6: Final answer
    x = 4,756.50

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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.