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Finding the Fourth Proportional to 16,285, 22,465.78 and 9,568.52

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Solution

The fourth proportional to 16,285, 22,465.78 and 9,568.52 is: 13,200.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,285 : 22,465.78 = 9,568.52 : x
  2. Step 2: Convert to fraction form
    16,285/22,465.78 = 9,568.52/x
  3. Step 3: Cross multiply
    16,285x = 22,465.78 × 9,568.52
  4. Step 4: Simplify right side
    16,285x = 214,964,265.25
  5. Step 5: Solve for x
    x = 214,964,265.25/16,285
  6. Step 6: Final answer
    x = 13,200.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.