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Finding the Fourth Proportional to 12,696.57, 17,521.26 and 7,107.57

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Solution

The fourth proportional to 12,696.57, 17,521.26 and 7,107.57 is: 9,808.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,696.57 : 17,521.26 = 7,107.57 : x
  2. Step 2: Convert to fraction form
    12,696.57/17,521.26 = 7,107.57/x
  3. Step 3: Cross multiply
    12,696.57x = 17,521.26 × 7,107.57
  4. Step 4: Simplify right side
    12,696.57x = 124,533,581.94
  5. Step 5: Solve for x
    x = 124,533,581.94/12,696.57
  6. Step 6: Final answer
    x = 9,808.44

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1.5x scale

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.