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Finding the Fourth Proportional to 7,203.97, 9,937.67 and 4,961.99

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Solution

The fourth proportional to 7,203.97, 9,937.67 and 4,961.99 is: 6,844.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,203.97 : 9,937.67 = 4,961.99 : x
  2. Step 2: Convert to fraction form
    7,203.97/9,937.67 = 4,961.99/x
  3. Step 3: Cross multiply
    7,203.97x = 9,937.67 × 4,961.99
  4. Step 4: Simplify right side
    7,203.97x = 49,310,619.16
  5. Step 5: Solve for x
    x = 49,310,619.16/7,203.97
  6. Step 6: Final answer
    x = 6,844.92

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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.