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Finding the Fourth Proportional to 9,293.54, 13,940.31 and 3,448.58

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Solution

The fourth proportional to 9,293.54, 13,940.31 and 3,448.58 is: 5,172.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,293.54 : 13,940.31 = 3,448.58 : x
  2. Step 2: Convert to fraction form
    9,293.54/13,940.31 = 3,448.58/x
  3. Step 3: Cross multiply
    9,293.54x = 13,940.31 × 3,448.58
  4. Step 4: Simplify right side
    9,293.54x = 48,074,274.26
  5. Step 5: Solve for x
    x = 48,074,274.26/9,293.54
  6. Step 6: Final answer
    x = 5,172.87

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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.