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Finding the Fourth Proportional to 5,721, 7,895.10 and 4,463.48

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Solution

The fourth proportional to 5,721, 7,895.10 and 4,463.48 is: 6,159.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,721 : 7,895.10 = 4,463.48 : x
  2. Step 2: Convert to fraction form
    5,721/7,895.10 = 4,463.48/x
  3. Step 3: Cross multiply
    5,721x = 7,895.10 × 4,463.48
  4. Step 4: Simplify right side
    5,721x = 35,239,620.95
  5. Step 5: Solve for x
    x = 35,239,620.95/5,721
  6. Step 6: Final answer
    x = 6,159.70

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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.