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Finding the Fourth Proportional to 6,661.25, 9,982.35 and 4,892.38

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Solution

The fourth proportional to 6,661.25, 9,982.35 and 4,892.38 is: 7,331.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,661.25 : 9,982.35 = 4,892.38 : x
  2. Step 2: Convert to fraction form
    6,661.25/9,982.35 = 4,892.38/x
  3. Step 3: Cross multiply
    6,661.25x = 9,982.35 × 4,892.38
  4. Step 4: Simplify right side
    6,661.25x = 48,837,449.49
  5. Step 5: Solve for x
    x = 48,837,449.49/6,661.25
  6. Step 6: Final answer
    x = 7,331.57

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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.