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Finding the Fourth Proportional to 6,149.58, 9,208.41 and 4,063.23

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Solution

The fourth proportional to 6,149.58, 9,208.41 and 4,063.23 is: 6,084.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,149.58 : 9,208.41 = 4,063.23 : x
  2. Step 2: Convert to fraction form
    6,149.58/9,208.41 = 4,063.23/x
  3. Step 3: Cross multiply
    6,149.58x = 9,208.41 × 4,063.23
  4. Step 4: Simplify right side
    6,149.58x = 37,415,887.76
  5. Step 5: Solve for x
    x = 37,415,887.76/6,149.58
  6. Step 6: Final answer
    x = 6,084.30

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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.