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Finding the Fourth Proportional to 22,489.91, 33,725.24 and 7,700.32

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Solution

The fourth proportional to 22,489.91, 33,725.24 and 7,700.32 is: 11,547.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,489.91 : 33,725.24 = 7,700.32 : x
  2. Step 2: Convert to fraction form
    22,489.91/33,725.24 = 7,700.32/x
  3. Step 3: Cross multiply
    22,489.91x = 33,725.24 × 7,700.32
  4. Step 4: Simplify right side
    22,489.91x = 259,695,140.08
  5. Step 5: Solve for x
    x = 259,695,140.08/22,489.91
  6. Step 6: Final answer
    x = 11,547.18

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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.