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Finding the Fourth Proportional to 10,662.84, 14,714.46 and 6,186.96

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Solution

The fourth proportional to 10,662.84, 14,714.46 and 6,186.96 is: 8,537.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,662.84 : 14,714.46 = 6,186.96 : x
  2. Step 2: Convert to fraction form
    10,662.84/14,714.46 = 6,186.96/x
  3. Step 3: Cross multiply
    10,662.84x = 14,714.46 × 6,186.96
  4. Step 4: Simplify right side
    10,662.84x = 91,037,775.44
  5. Step 5: Solve for x
    x = 91,037,775.44/10,662.84
  6. Step 6: Final answer
    x = 8,537.85

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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.