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Finding the Fourth Proportional to 6,430, 9,640.68 and 2,965.36

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Solution

The fourth proportional to 6,430, 9,640.68 and 2,965.36 is: 4,446.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,430 : 9,640.68 = 2,965.36 : x
  2. Step 2: Convert to fraction form
    6,430/9,640.68 = 2,965.36/x
  3. Step 3: Cross multiply
    6,430x = 9,640.68 × 2,965.36
  4. Step 4: Simplify right side
    6,430x = 28,588,086.84
  5. Step 5: Solve for x
    x = 28,588,086.84/6,430
  6. Step 6: Final answer
    x = 4,446.05

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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.