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Finding the Fourth Proportional to 22,652.96, 33,978.24 and 7,068.80

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Solution

The fourth proportional to 22,652.96, 33,978.24 and 7,068.80 is: 10,602.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,652.96 : 33,978.24 = 7,068.80 : x
  2. Step 2: Convert to fraction form
    22,652.96/33,978.24 = 7,068.80/x
  3. Step 3: Cross multiply
    22,652.96x = 33,978.24 × 7,068.80
  4. Step 4: Simplify right side
    22,652.96x = 240,185,382.91
  5. Step 5: Solve for x
    x = 240,185,382.91/22,652.96
  6. Step 6: Final answer
    x = 10,602.83

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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.