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Finding the Fourth Proportional to 22,117.68, 33,164.22 and 7,322.64

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Solution

The fourth proportional to 22,117.68, 33,164.22 and 7,322.64 is: 10,979.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,117.68 : 33,164.22 = 7,322.64 : x
  2. Step 2: Convert to fraction form
    22,117.68/33,164.22 = 7,322.64/x
  3. Step 3: Cross multiply
    22,117.68x = 33,164.22 × 7,322.64
  4. Step 4: Simplify right side
    22,117.68x = 242,849,643.94
  5. Step 5: Solve for x
    x = 242,849,643.94/22,117.68
  6. Step 6: Final answer
    x = 10,979.89

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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.