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Finding the Fourth Proportional to 6,706.67, 9,255.29 and 4,053.60

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Solution

The fourth proportional to 6,706.67, 9,255.29 and 4,053.60 is: 5,594.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,706.67 : 9,255.29 = 4,053.60 : x
  2. Step 2: Convert to fraction form
    6,706.67/9,255.29 = 4,053.60/x
  3. Step 3: Cross multiply
    6,706.67x = 9,255.29 × 4,053.60
  4. Step 4: Simplify right side
    6,706.67x = 37,517,223.28
  5. Step 5: Solve for x
    x = 37,517,223.28/6,706.67
  6. Step 6: Final answer
    x = 5,594.02

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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.