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Finding the Fourth Proportional to 37,295.94, 55,942.55 and 9,215.78

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Solution

The fourth proportional to 37,295.94, 55,942.55 and 9,215.78 is: 13,823.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,295.94 : 55,942.55 = 9,215.78 : x
  2. Step 2: Convert to fraction form
    37,295.94/55,942.55 = 9,215.78/x
  3. Step 3: Cross multiply
    37,295.94x = 55,942.55 × 9,215.78
  4. Step 4: Simplify right side
    37,295.94x = 515,553,942.21
  5. Step 5: Solve for x
    x = 515,553,942.21/37,295.94
  6. Step 6: Final answer
    x = 13,823.32

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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.