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Finding the Fourth Proportional to 11,463, 17,195.31 and 4,537.50

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Solution

The fourth proportional to 11,463, 17,195.31 and 4,537.50 is: 6,806.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,463 : 17,195.31 = 4,537.50 : x
  2. Step 2: Convert to fraction form
    11,463/17,195.31 = 4,537.50/x
  3. Step 3: Cross multiply
    11,463x = 17,195.31 × 4,537.50
  4. Step 4: Simplify right side
    11,463x = 78,023,719.13
  5. Step 5: Solve for x
    x = 78,023,719.13/11,463
  6. Step 6: Final answer
    x = 6,806.57

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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.