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Finding the Fourth Proportional to 9,038.44, 12,469.24 and 6,055.24

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Solution

The fourth proportional to 9,038.44, 12,469.24 and 6,055.24 is: 8,353.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,038.44 : 12,469.24 = 6,055.24 : x
  2. Step 2: Convert to fraction form
    9,038.44/12,469.24 = 6,055.24/x
  3. Step 3: Cross multiply
    9,038.44x = 12,469.24 × 6,055.24
  4. Step 4: Simplify right side
    9,038.44x = 75,504,240.82
  5. Step 5: Solve for x
    x = 75,504,240.82/9,038.44
  6. Step 6: Final answer
    x = 8,353.68

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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.