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Finding the Fourth Proportional to 6,937.54, 10,406.28 and 3,237.71

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Solution

The fourth proportional to 6,937.54, 10,406.28 and 3,237.71 is: 4,856.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,937.54 : 10,406.28 = 3,237.71 : x
  2. Step 2: Convert to fraction form
    6,937.54/10,406.28 = 3,237.71/x
  3. Step 3: Cross multiply
    6,937.54x = 10,406.28 × 3,237.71
  4. Step 4: Simplify right side
    6,937.54x = 33,692,542.83
  5. Step 5: Solve for x
    x = 33,692,542.83/6,937.54
  6. Step 6: Final answer
    x = 4,856.56

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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.