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Finding the Fourth Proportional to 7,537.68, 11,294.16 and 7,249.68

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Solution

The fourth proportional to 7,537.68, 11,294.16 and 7,249.68 is: 10,862.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,537.68 : 11,294.16 = 7,249.68 : x
  2. Step 2: Convert to fraction form
    7,537.68/11,294.16 = 7,249.68/x
  3. Step 3: Cross multiply
    7,537.68x = 11,294.16 × 7,249.68
  4. Step 4: Simplify right side
    7,537.68x = 81,879,045.87
  5. Step 5: Solve for x
    x = 81,879,045.87/7,537.68
  6. Step 6: Final answer
    x = 10,862.63

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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.