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Finding the Fourth Proportional to 16,007.69, 22,090.64 and 8,934.12

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Solution

The fourth proportional to 16,007.69, 22,090.64 and 8,934.12 is: 12,329.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,007.69 : 22,090.64 = 8,934.12 : x
  2. Step 2: Convert to fraction form
    16,007.69/22,090.64 = 8,934.12/x
  3. Step 3: Cross multiply
    16,007.69x = 22,090.64 × 8,934.12
  4. Step 4: Simplify right side
    16,007.69x = 197,360,383.97
  5. Step 5: Solve for x
    x = 197,360,383.97/16,007.69
  6. Step 6: Final answer
    x = 12,329.10

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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.