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Finding the Fourth Proportional to 6,496.32, 9,745.50 and 2,799.60

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Solution

The fourth proportional to 6,496.32, 9,745.50 and 2,799.60 is: 4,199.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,496.32 : 9,745.50 = 2,799.60 : x
  2. Step 2: Convert to fraction form
    6,496.32/9,745.50 = 2,799.60/x
  3. Step 3: Cross multiply
    6,496.32x = 9,745.50 × 2,799.60
  4. Step 4: Simplify right side
    6,496.32x = 27,283,501.80
  5. Step 5: Solve for x
    x = 27,283,501.80/6,496.32
  6. Step 6: Final answer
    x = 4,199.84

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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.