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Finding the Fourth Proportional to 6,260.34, 9,383.22 and 3,657.78

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Solution

The fourth proportional to 6,260.34, 9,383.22 and 3,657.78 is: 5,482.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,260.34 : 9,383.22 = 3,657.78 : x
  2. Step 2: Convert to fraction form
    6,260.34/9,383.22 = 3,657.78/x
  3. Step 3: Cross multiply
    6,260.34x = 9,383.22 × 3,657.78
  4. Step 4: Simplify right side
    6,260.34x = 34,321,754.45
  5. Step 5: Solve for x
    x = 34,321,754.45/6,260.34
  6. Step 6: Final answer
    x = 5,482.41

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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.