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Finding the Fourth Proportional to 22,405.34, 33,613.02 and 6,824.18

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Solution

The fourth proportional to 22,405.34, 33,613.02 and 6,824.18 is: 10,237.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,405.34 : 33,613.02 = 6,824.18 : x
  2. Step 2: Convert to fraction form
    22,405.34/33,613.02 = 6,824.18/x
  3. Step 3: Cross multiply
    22,405.34x = 33,613.02 × 6,824.18
  4. Step 4: Simplify right side
    22,405.34x = 229,381,298.82
  5. Step 5: Solve for x
    x = 229,381,298.82/22,405.34
  6. Step 6: Final answer
    x = 10,237.80

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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.