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Finding the Fourth Proportional to 6,477.67, 9,716.22 and 2,035.23

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Solution

The fourth proportional to 6,477.67, 9,716.22 and 2,035.23 is: 3,052.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,477.67 : 9,716.22 = 2,035.23 : x
  2. Step 2: Convert to fraction form
    6,477.67/9,716.22 = 2,035.23/x
  3. Step 3: Cross multiply
    6,477.67x = 9,716.22 × 2,035.23
  4. Step 4: Simplify right side
    6,477.67x = 19,774,697.41
  5. Step 5: Solve for x
    x = 19,774,697.41/6,477.67
  6. Step 6: Final answer
    x = 3,052.75

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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.