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Finding the Fourth Proportional to 6,451.34, 9,677.22 and 2,068.24

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Solution

The fourth proportional to 6,451.34, 9,677.22 and 2,068.24 is: 3,102.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,451.34 : 9,677.22 = 2,068.24 : x
  2. Step 2: Convert to fraction form
    6,451.34/9,677.22 = 2,068.24/x
  3. Step 3: Cross multiply
    6,451.34x = 9,677.22 × 2,068.24
  4. Step 4: Simplify right side
    6,451.34x = 20,014,813.49
  5. Step 5: Solve for x
    x = 20,014,813.49/6,451.34
  6. Step 6: Final answer
    x = 3,102.43

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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.