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Finding the Fourth Proportional to 7,745.67, 10,689.01 and 4,208.88

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Solution

The fourth proportional to 7,745.67, 10,689.01 and 4,208.88 is: 5,808.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,745.67 : 10,689.01 = 4,208.88 : x
  2. Step 2: Convert to fraction form
    7,745.67/10,689.01 = 4,208.88/x
  3. Step 3: Cross multiply
    7,745.67x = 10,689.01 × 4,208.88
  4. Step 4: Simplify right side
    7,745.67x = 44,988,766.09
  5. Step 5: Solve for x
    x = 44,988,766.09/7,745.67
  6. Step 6: Final answer
    x = 5,808.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.