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Finding the Fourth Proportional to 9,796.21, 14,714.20 and 8,652.14

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Solution

The fourth proportional to 9,796.21, 14,714.20 and 8,652.14 is: 12,995.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,796.21 : 14,714.20 = 8,652.14 : x
  2. Step 2: Convert to fraction form
    9,796.21/14,714.20 = 8,652.14/x
  3. Step 3: Cross multiply
    9,796.21x = 14,714.20 × 8,652.14
  4. Step 4: Simplify right side
    9,796.21x = 127,309,244.82
  5. Step 5: Solve for x
    x = 127,309,244.82/9,796.21
  6. Step 6: Final answer
    x = 12,995.77

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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.