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Finding the Fourth Proportional to 22,332.54, 33,494.48 and 6,746.52

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Solution

The fourth proportional to 22,332.54, 33,494.48 and 6,746.52 is: 10,118.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,332.54 : 33,494.48 = 6,746.52 : x
  2. Step 2: Convert to fraction form
    22,332.54/33,494.48 = 6,746.52/x
  3. Step 3: Cross multiply
    22,332.54x = 33,494.48 × 6,746.52
  4. Step 4: Simplify right side
    22,332.54x = 225,971,179.21
  5. Step 5: Solve for x
    x = 225,971,179.21/22,332.54
  6. Step 6: Final answer
    x = 10,118.47

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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.