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Finding the Fourth Proportional to 21,797.76, 32,697.84 and 6,214.14

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Solution

The fourth proportional to 21,797.76, 32,697.84 and 6,214.14 is: 9,321.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,797.76 : 32,697.84 = 6,214.14 : x
  2. Step 2: Convert to fraction form
    21,797.76/32,697.84 = 6,214.14/x
  3. Step 3: Cross multiply
    21,797.76x = 32,697.84 × 6,214.14
  4. Step 4: Simplify right side
    21,797.76x = 203,188,955.46
  5. Step 5: Solve for x
    x = 203,188,955.46/21,797.76
  6. Step 6: Final answer
    x = 9,321.55

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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.