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Finding the Fourth Proportional to 9,292.54, 13,938.81 and 3,447.58

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Solution

The fourth proportional to 9,292.54, 13,938.81 and 3,447.58 is: 5,171.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,292.54 : 13,938.81 = 3,447.58 : x
  2. Step 2: Convert to fraction form
    9,292.54/13,938.81 = 3,447.58/x
  3. Step 3: Cross multiply
    9,292.54x = 13,938.81 × 3,447.58
  4. Step 4: Simplify right side
    9,292.54x = 48,055,162.58
  5. Step 5: Solve for x
    x = 48,055,162.58/9,292.54
  6. Step 6: Final answer
    x = 5,171.37

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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.