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Finding the Fourth Proportional to 6,714.64, 10,074.82 and 3,593.84

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Solution

The fourth proportional to 6,714.64, 10,074.82 and 3,593.84 is: 5,392.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,714.64 : 10,074.82 = 3,593.84 : x
  2. Step 2: Convert to fraction form
    6,714.64/10,074.82 = 3,593.84/x
  3. Step 3: Cross multiply
    6,714.64x = 10,074.82 × 3,593.84
  4. Step 4: Simplify right side
    6,714.64x = 36,207,291.11
  5. Step 5: Solve for x
    x = 36,207,291.11/6,714.64
  6. Step 6: Final answer
    x = 5,392.29

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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.