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Finding the Fourth Proportional to 9,352.24, 12,906.01 and 5,103.24

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Solution

The fourth proportional to 9,352.24, 12,906.01 and 5,103.24 is: 7,042.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,352.24 : 12,906.01 = 5,103.24 : x
  2. Step 2: Convert to fraction form
    9,352.24/12,906.01 = 5,103.24/x
  3. Step 3: Cross multiply
    9,352.24x = 12,906.01 × 5,103.24
  4. Step 4: Simplify right side
    9,352.24x = 65,862,466.47
  5. Step 5: Solve for x
    x = 65,862,466.47/9,352.24
  6. Step 6: Final answer
    x = 7,042.43

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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.