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Finding the Fourth Proportional to 7,203.57, 9,943.79 and 6,191.28

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Solution

The fourth proportional to 7,203.57, 9,943.79 and 6,191.28 is: 8,546.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,203.57 : 9,943.79 = 6,191.28 : x
  2. Step 2: Convert to fraction form
    7,203.57/9,943.79 = 6,191.28/x
  3. Step 3: Cross multiply
    7,203.57x = 9,943.79 × 6,191.28
  4. Step 4: Simplify right side
    7,203.57x = 61,564,757.19
  5. Step 5: Solve for x
    x = 61,564,757.19/7,203.57
  6. Step 6: Final answer
    x = 8,546.42

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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.