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Finding the Fourth Proportional to 12,706.41, 19,059.61 and 3,472.41

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Solution

The fourth proportional to 12,706.41, 19,059.61 and 3,472.41 is: 5,208.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,706.41 : 19,059.61 = 3,472.41 : x
  2. Step 2: Convert to fraction form
    12,706.41/19,059.61 = 3,472.41/x
  3. Step 3: Cross multiply
    12,706.41x = 19,059.61 × 3,472.41
  4. Step 4: Simplify right side
    12,706.41x = 66,182,713.23
  5. Step 5: Solve for x
    x = 66,182,713.23/12,706.41
  6. Step 6: Final answer
    x = 5,208.61

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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.