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Finding the Fourth Proportional to 6,363, 9,544.98 and 2,259

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Solution

The fourth proportional to 6,363, 9,544.98 and 2,259 is: 3,388.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,363 : 9,544.98 = 2,259 : x
  2. Step 2: Convert to fraction form
    6,363/9,544.98 = 2,259/x
  3. Step 3: Cross multiply
    6,363x = 9,544.98 × 2,259
  4. Step 4: Simplify right side
    6,363x = 21,562,109.82
  5. Step 5: Solve for x
    x = 21,562,109.82/6,363
  6. Step 6: Final answer
    x = 3,388.67

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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.