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Finding the Fourth Proportional to 9,096.91, 13,642.46 and 3,548.90

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Solution

The fourth proportional to 9,096.91, 13,642.46 and 3,548.90 is: 5,322.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,096.91 : 13,642.46 = 3,548.90 : x
  2. Step 2: Convert to fraction form
    9,096.91/13,642.46 = 3,548.90/x
  3. Step 3: Cross multiply
    9,096.91x = 13,642.46 × 3,548.90
  4. Step 4: Simplify right side
    9,096.91x = 48,415,708.55
  5. Step 5: Solve for x
    x = 48,415,708.55/9,096.91
  6. Step 6: Final answer
    x = 5,322.22

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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.