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Finding the Fourth Proportional to 22,503.24, 33,754.86 and 8,649

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Solution

The fourth proportional to 22,503.24, 33,754.86 and 8,649 is: 12,973.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,503.24 : 33,754.86 = 8,649 : x
  2. Step 2: Convert to fraction form
    22,503.24/33,754.86 = 8,649/x
  3. Step 3: Cross multiply
    22,503.24x = 33,754.86 × 8,649
  4. Step 4: Simplify right side
    22,503.24x = 291,945,784.14
  5. Step 5: Solve for x
    x = 291,945,784.14/22,503.24
  6. Step 6: Final answer
    x = 12,973.50

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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.