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Finding the Fourth Proportional to 27,706.76, 41,559.86 and 6,930.26

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Solution

The fourth proportional to 27,706.76, 41,559.86 and 6,930.26 is: 10,395.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,706.76 : 41,559.86 = 6,930.26 : x
  2. Step 2: Convert to fraction form
    27,706.76/41,559.86 = 6,930.26/x
  3. Step 3: Cross multiply
    27,706.76x = 41,559.86 × 6,930.26
  4. Step 4: Simplify right side
    27,706.76x = 288,020,635.36
  5. Step 5: Solve for x
    x = 288,020,635.36/27,706.76
  6. Step 6: Final answer
    x = 10,395.32

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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.