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Finding the Fourth Proportional to 22,298.49, 33,447.73 and 6,716.11

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Solution

The fourth proportional to 22,298.49, 33,447.73 and 6,716.11 is: 10,074.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,298.49 : 33,447.73 = 6,716.11 : x
  2. Step 2: Convert to fraction form
    22,298.49/33,447.73 = 6,716.11/x
  3. Step 3: Cross multiply
    22,298.49x = 33,447.73 × 6,716.11
  4. Step 4: Simplify right side
    22,298.49x = 224,638,600.35
  5. Step 5: Solve for x
    x = 224,638,600.35/22,298.49
  6. Step 6: Final answer
    x = 10,074.16

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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.