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Finding the Fourth Proportional to 12,696.70, 19,048.96 and 5,682.58

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Solution

The fourth proportional to 12,696.70, 19,048.96 and 5,682.58 is: 8,525.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,696.70 : 19,048.96 = 5,682.58 : x
  2. Step 2: Convert to fraction form
    12,696.70/19,048.96 = 5,682.58/x
  3. Step 3: Cross multiply
    12,696.70x = 19,048.96 × 5,682.58
  4. Step 4: Simplify right side
    12,696.70x = 108,247,239.12
  5. Step 5: Solve for x
    x = 108,247,239.12/12,696.70
  6. Step 6: Final answer
    x = 8,525.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.