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Finding the Fourth Proportional to 21,797.13, 32,696.00 and 6,214.76

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Solution

The fourth proportional to 21,797.13, 32,696.00 and 6,214.76 is: 9,322.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,797.13 : 32,696.00 = 6,214.76 : x
  2. Step 2: Convert to fraction form
    21,797.13/32,696.00 = 6,214.76/x
  3. Step 3: Cross multiply
    21,797.13x = 32,696.00 × 6,214.76
  4. Step 4: Simplify right side
    21,797.13x = 203,197,742.80
  5. Step 5: Solve for x
    x = 203,197,742.80/21,797.13
  6. Step 6: Final answer
    x = 9,322.22

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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.