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Finding the Fourth Proportional to 6,206.94, 9,307.98 and 1,823.22

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Solution

The fourth proportional to 6,206.94, 9,307.98 and 1,823.22 is: 2,734.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,206.94 : 9,307.98 = 1,823.22 : x
  2. Step 2: Convert to fraction form
    6,206.94/9,307.98 = 1,823.22/x
  3. Step 3: Cross multiply
    6,206.94x = 9,307.98 × 1,823.22
  4. Step 4: Simplify right side
    6,206.94x = 16,970,495.30
  5. Step 5: Solve for x
    x = 16,970,495.30/6,206.94
  6. Step 6: Final answer
    x = 2,734.12

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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.