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Finding the Fourth Proportional to 6,530.67, 9,012.24 and 3,698.60

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Solution

The fourth proportional to 6,530.67, 9,012.24 and 3,698.60 is: 5,104.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,530.67 : 9,012.24 = 3,698.60 : x
  2. Step 2: Convert to fraction form
    6,530.67/9,012.24 = 3,698.60/x
  3. Step 3: Cross multiply
    6,530.67x = 9,012.24 × 3,698.60
  4. Step 4: Simplify right side
    6,530.67x = 33,332,625.80
  5. Step 5: Solve for x
    x = 33,332,625.80/6,530.67
  6. Step 6: Final answer
    x = 5,104.01

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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.