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Finding the Fourth Proportional to 10,321.74, 14,249.91 and 6,795.21

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Solution

The fourth proportional to 10,321.74, 14,249.91 and 6,795.21 is: 9,381.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,321.74 : 14,249.91 = 6,795.21 : x
  2. Step 2: Convert to fraction form
    10,321.74/14,249.91 = 6,795.21/x
  3. Step 3: Cross multiply
    10,321.74x = 14,249.91 × 6,795.21
  4. Step 4: Simplify right side
    10,321.74x = 96,831,059.68
  5. Step 5: Solve for x
    x = 96,831,059.68/10,321.74
  6. Step 6: Final answer
    x = 9,381.27

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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.