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Finding the Fourth Proportional to 22,649.46, 33,972.99 and 7,065.30

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Solution

The fourth proportional to 22,649.46, 33,972.99 and 7,065.30 is: 10,597.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,649.46 : 33,972.99 = 7,065.30 : x
  2. Step 2: Convert to fraction form
    22,649.46/33,972.99 = 7,065.30/x
  3. Step 3: Cross multiply
    22,649.46x = 33,972.99 × 7,065.30
  4. Step 4: Simplify right side
    22,649.46x = 240,029,366.25
  5. Step 5: Solve for x
    x = 240,029,366.25/22,649.46
  6. Step 6: Final answer
    x = 10,597.58

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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.