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Finding the Fourth Proportional to 6,233.09, 9,347.99 and 1,849.50

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Solution

The fourth proportional to 6,233.09, 9,347.99 and 1,849.50 is: 2,773.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,233.09 : 9,347.99 = 1,849.50 : x
  2. Step 2: Convert to fraction form
    6,233.09/9,347.99 = 1,849.50/x
  3. Step 3: Cross multiply
    6,233.09x = 9,347.99 × 1,849.50
  4. Step 4: Simplify right side
    6,233.09x = 17,289,098.26
  5. Step 5: Solve for x
    x = 17,289,098.26/6,233.09
  6. Step 6: Final answer
    x = 2,773.76

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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.