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Finding the Fourth Proportional to 6,414.54, 9,623.43 and 2,714.88

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Solution

The fourth proportional to 6,414.54, 9,623.43 and 2,714.88 is: 4,073.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,414.54 : 9,623.43 = 2,714.88 : x
  2. Step 2: Convert to fraction form
    6,414.54/9,623.43 = 2,714.88/x
  3. Step 3: Cross multiply
    6,414.54x = 9,623.43 × 2,714.88
  4. Step 4: Simplify right side
    6,414.54x = 26,126,457.64
  5. Step 5: Solve for x
    x = 26,126,457.64/6,414.54
  6. Step 6: Final answer
    x = 4,073.01

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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.