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Finding the Fourth Proportional to 10,714.76, 14,786.10 and 6,239.96

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Solution

The fourth proportional to 10,714.76, 14,786.10 and 6,239.96 is: 8,610.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,714.76 : 14,786.10 = 6,239.96 : x
  2. Step 2: Convert to fraction form
    10,714.76/14,786.10 = 6,239.96/x
  3. Step 3: Cross multiply
    10,714.76x = 14,786.10 × 6,239.96
  4. Step 4: Simplify right side
    10,714.76x = 92,264,672.56
  5. Step 5: Solve for x
    x = 92,264,672.56/10,714.76
  6. Step 6: Final answer
    x = 8,610.99

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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.