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Finding the Fourth Proportional to 7,706.97, 10,635.64 and 4,170.22

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Solution

The fourth proportional to 7,706.97, 10,635.64 and 4,170.22 is: 5,754.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,706.97 : 10,635.64 = 4,170.22 : x
  2. Step 2: Convert to fraction form
    7,706.97/10,635.64 = 4,170.22/x
  3. Step 3: Cross multiply
    7,706.97x = 10,635.64 × 4,170.22
  4. Step 4: Simplify right side
    7,706.97x = 44,352,921.63
  5. Step 5: Solve for x
    x = 44,352,921.63/7,706.97
  6. Step 6: Final answer
    x = 5,754.91

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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.