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Finding the Fourth Proportional to 6,448.77, 9,672.75 and 3,849.75

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Solution

The fourth proportional to 6,448.77, 9,672.75 and 3,849.75 is: 5,774.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,448.77 : 9,672.75 = 3,849.75 : x
  2. Step 2: Convert to fraction form
    6,448.77/9,672.75 = 3,849.75/x
  3. Step 3: Cross multiply
    6,448.77x = 9,672.75 × 3,849.75
  4. Step 4: Simplify right side
    6,448.77x = 37,237,669.31
  5. Step 5: Solve for x
    x = 37,237,669.31/6,448.77
  6. Step 6: Final answer
    x = 5,774.38

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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.