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Finding the Fourth Proportional to 21,841.74, 32,769.52 and 7,801.46

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Solution

The fourth proportional to 21,841.74, 32,769.52 and 7,801.46 is: 11,704.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,841.74 : 32,769.52 = 7,801.46 : x
  2. Step 2: Convert to fraction form
    21,841.74/32,769.52 = 7,801.46/x
  3. Step 3: Cross multiply
    21,841.74x = 32,769.52 × 7,801.46
  4. Step 4: Simplify right side
    21,841.74x = 255,650,099.50
  5. Step 5: Solve for x
    x = 255,650,099.50/21,841.74
  6. Step 6: Final answer
    x = 11,704.66

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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.