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Finding the Fourth Proportional to 7,706.76, 10,635.36 and 4,169.98

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Solution

The fourth proportional to 7,706.76, 10,635.36 and 4,169.98 is: 5,754.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,706.76 : 10,635.36 = 4,169.98 : x
  2. Step 2: Convert to fraction form
    7,706.76/10,635.36 = 4,169.98/x
  3. Step 3: Cross multiply
    7,706.76x = 10,635.36 × 4,169.98
  4. Step 4: Simplify right side
    7,706.76x = 44,349,238.49
  5. Step 5: Solve for x
    x = 44,349,238.49/7,706.76
  6. Step 6: Final answer
    x = 5,754.59

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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.