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Finding the Fourth Proportional to 15,682.68, 23,512.68 and 7,783.56

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Solution

The fourth proportional to 15,682.68, 23,512.68 and 7,783.56 is: 11,669.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,682.68 : 23,512.68 = 7,783.56 : x
  2. Step 2: Convert to fraction form
    15,682.68/23,512.68 = 7,783.56/x
  3. Step 3: Cross multiply
    15,682.68x = 23,512.68 × 7,783.56
  4. Step 4: Simplify right side
    15,682.68x = 183,012,355.54
  5. Step 5: Solve for x
    x = 183,012,355.54/15,682.68
  6. Step 6: Final answer
    x = 11,669.71

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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.