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Finding the Fourth Proportional to 22,214.76, 33,322.12 and 5,798.76

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Solution

The fourth proportional to 22,214.76, 33,322.12 and 5,798.76 is: 8,698.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,214.76 : 33,322.12 = 5,798.76 : x
  2. Step 2: Convert to fraction form
    22,214.76/33,322.12 = 5,798.76/x
  3. Step 3: Cross multiply
    22,214.76x = 33,322.12 × 5,798.76
  4. Step 4: Simplify right side
    22,214.76x = 193,226,976.57
  5. Step 5: Solve for x
    x = 193,226,976.57/22,214.76
  6. Step 6: Final answer
    x = 8,698.13

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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.