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Finding the Fourth Proportional to 11,465.96, 17,198.96 and 3,146.09

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Solution

The fourth proportional to 11,465.96, 17,198.96 and 3,146.09 is: 4,719.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,465.96 : 17,198.96 = 3,146.09 : x
  2. Step 2: Convert to fraction form
    11,465.96/17,198.96 = 3,146.09/x
  3. Step 3: Cross multiply
    11,465.96x = 17,198.96 × 3,146.09
  4. Step 4: Simplify right side
    11,465.96x = 54,109,417.34
  5. Step 5: Solve for x
    x = 54,109,417.34/11,465.96
  6. Step 6: Final answer
    x = 4,719.14

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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.