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Finding the Fourth Proportional to 6,426, 9,639.72 and 3,651.12

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Solution

The fourth proportional to 6,426, 9,639.72 and 3,651.12 is: 5,477.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,426 : 9,639.72 = 3,651.12 : x
  2. Step 2: Convert to fraction form
    6,426/9,639.72 = 3,651.12/x
  3. Step 3: Cross multiply
    6,426x = 9,639.72 × 3,651.12
  4. Step 4: Simplify right side
    6,426x = 35,195,774.49
  5. Step 5: Solve for x
    x = 35,195,774.49/6,426
  6. Step 6: Final answer
    x = 5,477.09

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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.