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Finding the Fourth Proportional to 12,197.62, 16,833.05 and 6,892.32

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Solution

The fourth proportional to 12,197.62, 16,833.05 and 6,892.32 is: 9,511.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,197.62 : 16,833.05 = 6,892.32 : x
  2. Step 2: Convert to fraction form
    12,197.62/16,833.05 = 6,892.32/x
  3. Step 3: Cross multiply
    12,197.62x = 16,833.05 × 6,892.32
  4. Step 4: Simplify right side
    12,197.62x = 116,018,767.18
  5. Step 5: Solve for x
    x = 116,018,767.18/12,197.62
  6. Step 6: Final answer
    x = 9,511.59

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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.