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Finding the Fourth Proportional to 10,857.62, 16,268.55 and 9,949.75

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Solution

The fourth proportional to 10,857.62, 16,268.55 and 9,949.75 is: 14,908.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,857.62 : 16,268.55 = 9,949.75 : x
  2. Step 2: Convert to fraction form
    10,857.62/16,268.55 = 9,949.75/x
  3. Step 3: Cross multiply
    10,857.62x = 16,268.55 × 9,949.75
  4. Step 4: Simplify right side
    10,857.62x = 161,868,005.36
  5. Step 5: Solve for x
    x = 161,868,005.36/10,857.62
  6. Step 6: Final answer
    x = 14,908.24

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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.