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Finding the Fourth Proportional to 6,368, 9,552.54 and 1,751

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Solution

The fourth proportional to 6,368, 9,552.54 and 1,751 is: 2,626.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,368 : 9,552.54 = 1,751 : x
  2. Step 2: Convert to fraction form
    6,368/9,552.54 = 1,751/x
  3. Step 3: Cross multiply
    6,368x = 9,552.54 × 1,751
  4. Step 4: Simplify right side
    6,368x = 16,726,497.54
  5. Step 5: Solve for x
    x = 16,726,497.54/6,368
  6. Step 6: Final answer
    x = 2,626.65

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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.