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Finding the Fourth Proportional to 7,384.96, 11,074.92 and 2,940.49

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Solution

The fourth proportional to 7,384.96, 11,074.92 and 2,940.49 is: 4,409.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,384.96 : 11,074.92 = 2,940.49 : x
  2. Step 2: Convert to fraction form
    7,384.96/11,074.92 = 2,940.49/x
  3. Step 3: Cross multiply
    7,384.96x = 11,074.92 × 2,940.49
  4. Step 4: Simplify right side
    7,384.96x = 32,565,691.51
  5. Step 5: Solve for x
    x = 32,565,691.51/7,384.96
  6. Step 6: Final answer
    x = 4,409.73

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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.