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Finding the Fourth Proportional to 4,645.26, 6,968.22 and 1,685.46

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Solution

The fourth proportional to 4,645.26, 6,968.22 and 1,685.46 is: 2,528.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,645.26 : 6,968.22 = 1,685.46 : x
  2. Step 2: Convert to fraction form
    4,645.26/6,968.22 = 1,685.46/x
  3. Step 3: Cross multiply
    4,645.26x = 6,968.22 × 1,685.46
  4. Step 4: Simplify right side
    4,645.26x = 11,744,656.08
  5. Step 5: Solve for x
    x = 11,744,656.08/4,645.26
  6. Step 6: Final answer
    x = 2,528.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.