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Finding the Fourth Proportional to 6,912.32, 9,539 and 3,768.50

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Solution

The fourth proportional to 6,912.32, 9,539 and 3,768.50 is: 5,200.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,912.32 : 9,539 = 3,768.50 : x
  2. Step 2: Convert to fraction form
    6,912.32/9,539 = 3,768.50/x
  3. Step 3: Cross multiply
    6,912.32x = 9,539 × 3,768.50
  4. Step 4: Simplify right side
    6,912.32x = 35,947,721.50
  5. Step 5: Solve for x
    x = 35,947,721.50/6,912.32
  6. Step 6: Final answer
    x = 5,200.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.