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Finding the Fourth Proportional to 11,599.82, 16,007.46 and 6,884

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Solution

The fourth proportional to 11,599.82, 16,007.46 and 6,884 is: 9,499.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,599.82 : 16,007.46 = 6,884 : x
  2. Step 2: Convert to fraction form
    11,599.82/16,007.46 = 6,884/x
  3. Step 3: Cross multiply
    11,599.82x = 16,007.46 × 6,884
  4. Step 4: Simplify right side
    11,599.82x = 110,195,354.64
  5. Step 5: Solve for x
    x = 110,195,354.64/11,599.82
  6. Step 6: Final answer
    x = 9,499.75

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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.