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Finding the Fourth Proportional to 12,596, 17,382.48 and 7,007

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Solution

The fourth proportional to 12,596, 17,382.48 and 7,007 is: 9,669.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,596 : 17,382.48 = 7,007 : x
  2. Step 2: Convert to fraction form
    12,596/17,382.48 = 7,007/x
  3. Step 3: Cross multiply
    12,596x = 17,382.48 × 7,007
  4. Step 4: Simplify right side
    12,596x = 121,799,037.36
  5. Step 5: Solve for x
    x = 121,799,037.36/12,596
  6. Step 6: Final answer
    x = 9,669.66

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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.