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Finding the Fourth Proportional to 6,808.58, 10,209.06 and 2,364.18

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Solution

The fourth proportional to 6,808.58, 10,209.06 and 2,364.18 is: 3,544.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,808.58 : 10,209.06 = 2,364.18 : x
  2. Step 2: Convert to fraction form
    6,808.58/10,209.06 = 2,364.18/x
  3. Step 3: Cross multiply
    6,808.58x = 10,209.06 × 2,364.18
  4. Step 4: Simplify right side
    6,808.58x = 24,136,055.47
  5. Step 5: Solve for x
    x = 24,136,055.47/6,808.58
  6. Step 6: Final answer
    x = 3,544.95

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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.