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Finding the Fourth Proportional to 12,357, 17,053.47 and 6,768

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Solution

The fourth proportional to 12,357, 17,053.47 and 6,768 is: 9,340.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,357 : 17,053.47 = 6,768 : x
  2. Step 2: Convert to fraction form
    12,357/17,053.47 = 6,768/x
  3. Step 3: Cross multiply
    12,357x = 17,053.47 × 6,768
  4. Step 4: Simplify right side
    12,357x = 115,417,884.96
  5. Step 5: Solve for x
    x = 115,417,884.96/12,357
  6. Step 6: Final answer
    x = 9,340.28

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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.