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Finding the Fourth Proportional to 6,494.77, 9,745.79 and 2,599.48

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Solution

The fourth proportional to 6,494.77, 9,745.79 and 2,599.48 is: 3,900.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,494.77 : 9,745.79 = 2,599.48 : x
  2. Step 2: Convert to fraction form
    6,494.77/9,745.79 = 2,599.48/x
  3. Step 3: Cross multiply
    6,494.77x = 9,745.79 × 2,599.48
  4. Step 4: Simplify right side
    6,494.77x = 25,333,924.46
  5. Step 5: Solve for x
    x = 25,333,924.46/6,494.77
  6. Step 6: Final answer
    x = 3,900.67

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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.