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Finding the Fourth Proportional to 7,039.75, 9,706.02 and 4,517.41

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Solution

The fourth proportional to 7,039.75, 9,706.02 and 4,517.41 is: 6,228.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,039.75 : 9,706.02 = 4,517.41 : x
  2. Step 2: Convert to fraction form
    7,039.75/9,706.02 = 4,517.41/x
  3. Step 3: Cross multiply
    7,039.75x = 9,706.02 × 4,517.41
  4. Step 4: Simplify right side
    7,039.75x = 43,846,023.28
  5. Step 5: Solve for x
    x = 43,846,023.28/7,039.75
  6. Step 6: Final answer
    x = 6,228.35

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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.