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Finding the Fourth Proportional to 7,706.67, 10,635.16 and 4,350.57

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Solution

The fourth proportional to 7,706.67, 10,635.16 and 4,350.57 is: 6,003.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,706.67 : 10,635.16 = 4,350.57 : x
  2. Step 2: Convert to fraction form
    7,706.67/10,635.16 = 4,350.57/x
  3. Step 3: Cross multiply
    7,706.67x = 10,635.16 × 4,350.57
  4. Step 4: Simplify right side
    7,706.67x = 46,269,053.36
  5. Step 5: Solve for x
    x = 46,269,053.36/7,706.67
  6. Step 6: Final answer
    x = 6,003.77

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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.