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Finding the Fourth Proportional to 9,096.64, 13,644.32 and 3,548.94

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Solution

The fourth proportional to 9,096.64, 13,644.32 and 3,548.94 is: 5,323.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,096.64 : 13,644.32 = 3,548.94 : x
  2. Step 2: Convert to fraction form
    9,096.64/13,644.32 = 3,548.94/x
  3. Step 3: Cross multiply
    9,096.64x = 13,644.32 × 3,548.94
  4. Step 4: Simplify right side
    9,096.64x = 48,422,873.02
  5. Step 5: Solve for x
    x = 48,422,873.02/9,096.64
  6. Step 6: Final answer
    x = 5,323.16

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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.