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Finding the Fourth Proportional to 12,345, 17,036.10 and 6,756

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Solution

The fourth proportional to 12,345, 17,036.10 and 6,756 is: 9,323.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,345 : 17,036.10 = 6,756 : x
  2. Step 2: Convert to fraction form
    12,345/17,036.10 = 6,756/x
  3. Step 3: Cross multiply
    12,345x = 17,036.10 × 6,756
  4. Step 4: Simplify right side
    12,345x = 115,095,891.60
  5. Step 5: Solve for x
    x = 115,095,891.60/12,345
  6. Step 6: Final answer
    x = 9,323.28

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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.