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Finding the Fourth Proportional to 6,725.96, 9,262.54 and 6,704.06

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Solution

The fourth proportional to 6,725.96, 9,262.54 and 6,704.06 is: 9,232.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,725.96 : 9,262.54 = 6,704.06 : x
  2. Step 2: Convert to fraction form
    6,725.96/9,262.54 = 6,704.06/x
  3. Step 3: Cross multiply
    6,725.96x = 9,262.54 × 6,704.06
  4. Step 4: Simplify right side
    6,725.96x = 62,096,560.84
  5. Step 5: Solve for x
    x = 62,096,560.84/6,725.96
  6. Step 6: Final answer
    x = 9,232.38

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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.