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Finding the Fourth Proportional to 21,533.77, 32,297 and 5,951.44

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Solution

The fourth proportional to 21,533.77, 32,297 and 5,951.44 is: 8,926.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,533.77 : 32,297 = 5,951.44 : x
  2. Step 2: Convert to fraction form
    21,533.77/32,297 = 5,951.44/x
  3. Step 3: Cross multiply
    21,533.77x = 32,297 × 5,951.44
  4. Step 4: Simplify right side
    21,533.77x = 192,213,657.68
  5. Step 5: Solve for x
    x = 192,213,657.68/21,533.77
  6. Step 6: Final answer
    x = 8,926.15

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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.