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Finding the Fourth Proportional to 6,661.70, 9,193.14 and 3,677.53

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Solution

The fourth proportional to 6,661.70, 9,193.14 and 3,677.53 is: 5,074.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,661.70 : 9,193.14 = 3,677.53 : x
  2. Step 2: Convert to fraction form
    6,661.70/9,193.14 = 3,677.53/x
  3. Step 3: Cross multiply
    6,661.70x = 9,193.14 × 3,677.53
  4. Step 4: Simplify right side
    6,661.70x = 33,808,048.14
  5. Step 5: Solve for x
    x = 33,808,048.14/6,661.70
  6. Step 6: Final answer
    x = 5,074.99

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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.