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Finding the Fourth Proportional to 4,714.62, 7,071.66 and 1,593.57

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Solution

The fourth proportional to 4,714.62, 7,071.66 and 1,593.57 is: 2,390.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,714.62 : 7,071.66 = 1,593.57 : x
  2. Step 2: Convert to fraction form
    4,714.62/7,071.66 = 1,593.57/x
  3. Step 3: Cross multiply
    4,714.62x = 7,071.66 × 1,593.57
  4. Step 4: Simplify right side
    4,714.62x = 11,269,185.23
  5. Step 5: Solve for x
    x = 11,269,185.23/4,714.62
  6. Step 6: Final answer
    x = 2,390.26

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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.