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Finding the Fourth Proportional to 9,497.53, 14,249.18 and 6,729.54

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Solution

The fourth proportional to 9,497.53, 14,249.18 and 6,729.54 is: 10,096.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,497.53 : 14,249.18 = 6,729.54 : x
  2. Step 2: Convert to fraction form
    9,497.53/14,249.18 = 6,729.54/x
  3. Step 3: Cross multiply
    9,497.53x = 14,249.18 × 6,729.54
  4. Step 4: Simplify right side
    9,497.53x = 95,890,426.78
  5. Step 5: Solve for x
    x = 95,890,426.78/9,497.53
  6. Step 6: Final answer
    x = 10,096.35

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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.