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Finding the Fourth Proportional to 6,507.94, 9,761.91 and 3,047.62

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Solution

The fourth proportional to 6,507.94, 9,761.91 and 3,047.62 is: 4,571.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,507.94 : 9,761.91 = 3,047.62 : x
  2. Step 2: Convert to fraction form
    6,507.94/9,761.91 = 3,047.62/x
  3. Step 3: Cross multiply
    6,507.94x = 9,761.91 × 3,047.62
  4. Step 4: Simplify right side
    6,507.94x = 29,750,592.15
  5. Step 5: Solve for x
    x = 29,750,592.15/6,507.94
  6. Step 6: Final answer
    x = 4,571.43

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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.