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Finding the Fourth Proportional to 6,661.74, 9,191.94 and 3,677.49

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Solution

The fourth proportional to 6,661.74, 9,191.94 and 3,677.49 is: 5,074.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,661.74 : 9,191.94 = 3,677.49 : x
  2. Step 2: Convert to fraction form
    6,661.74/9,191.94 = 3,677.49/x
  3. Step 3: Cross multiply
    6,661.74x = 9,191.94 × 3,677.49
  4. Step 4: Simplify right side
    6,661.74x = 33,803,267.43
  5. Step 5: Solve for x
    x = 33,803,267.43/6,661.74
  6. Step 6: Final answer
    x = 5,074.24

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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.