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Finding the Fourth Proportional to 7,219.53, 9,963.09 and 4,234.28

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Solution

The fourth proportional to 7,219.53, 9,963.09 and 4,234.28 is: 5,843.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,219.53 : 9,963.09 = 4,234.28 : x
  2. Step 2: Convert to fraction form
    7,219.53/9,963.09 = 4,234.28/x
  3. Step 3: Cross multiply
    7,219.53x = 9,963.09 × 4,234.28
  4. Step 4: Simplify right side
    7,219.53x = 42,186,462.91
  5. Step 5: Solve for x
    x = 42,186,462.91/7,219.53
  6. Step 6: Final answer
    x = 5,843.38

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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.