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Finding the Fourth Proportional to 6,315.75, 9,471.78 and 1,933.53

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Solution

The fourth proportional to 6,315.75, 9,471.78 and 1,933.53 is: 2,899.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,315.75 : 9,471.78 = 1,933.53 : x
  2. Step 2: Convert to fraction form
    6,315.75/9,471.78 = 1,933.53/x
  3. Step 3: Cross multiply
    6,315.75x = 9,471.78 × 1,933.53
  4. Step 4: Simplify right side
    6,315.75x = 18,313,970.78
  5. Step 5: Solve for x
    x = 18,313,970.78/6,315.75
  6. Step 6: Final answer
    x = 2,899.73

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1.5x scale

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.