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Finding the Fourth Proportional to 12,307.87, 16,984.38 and 6,930.19

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Solution

The fourth proportional to 12,307.87, 16,984.38 and 6,930.19 is: 9,563.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,307.87 : 16,984.38 = 6,930.19 : x
  2. Step 2: Convert to fraction form
    12,307.87/16,984.38 = 6,930.19/x
  3. Step 3: Cross multiply
    12,307.87x = 16,984.38 × 6,930.19
  4. Step 4: Simplify right side
    12,307.87x = 117,704,980.43
  5. Step 5: Solve for x
    x = 117,704,980.43/12,307.87
  6. Step 6: Final answer
    x = 9,563.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.