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Finding the Fourth Proportional to 22,650.30, 33,980.18 and 6,856.47

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Solution

The fourth proportional to 22,650.30, 33,980.18 and 6,856.47 is: 10,286.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,650.30 : 33,980.18 = 6,856.47 : x
  2. Step 2: Convert to fraction form
    22,650.30/33,980.18 = 6,856.47/x
  3. Step 3: Cross multiply
    22,650.30x = 33,980.18 × 6,856.47
  4. Step 4: Simplify right side
    22,650.30x = 232,984,050.48
  5. Step 5: Solve for x
    x = 232,984,050.48/22,650.30
  6. Step 6: Final answer
    x = 10,286.14

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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.