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Finding the Fourth Proportional to 6,599.76, 9,895.74 and 2,216.04

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Solution

The fourth proportional to 6,599.76, 9,895.74 and 2,216.04 is: 3,322.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,599.76 : 9,895.74 = 2,216.04 : x
  2. Step 2: Convert to fraction form
    6,599.76/9,895.74 = 2,216.04/x
  3. Step 3: Cross multiply
    6,599.76x = 9,895.74 × 2,216.04
  4. Step 4: Simplify right side
    6,599.76x = 21,929,355.67
  5. Step 5: Solve for x
    x = 21,929,355.67/6,599.76
  6. Step 6: Final answer
    x = 3,322.75

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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.