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Finding the Fourth Proportional to 6,329.76, 9,498 and 2,436.64

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Solution

The fourth proportional to 6,329.76, 9,498 and 2,436.64 is: 3,656.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,329.76 : 9,498 = 2,436.64 : x
  2. Step 2: Convert to fraction form
    6,329.76/9,498 = 2,436.64/x
  3. Step 3: Cross multiply
    6,329.76x = 9,498 × 2,436.64
  4. Step 4: Simplify right side
    6,329.76x = 23,143,206.72
  5. Step 5: Solve for x
    x = 23,143,206.72/6,329.76
  6. Step 6: Final answer
    x = 3,656.25

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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.