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Finding the Fourth Proportional to 6,351.75, 9,528.17 and 1,734.75

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Solution

The fourth proportional to 6,351.75, 9,528.17 and 1,734.75 is: 2,602.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,351.75 : 9,528.17 = 1,734.75 : x
  2. Step 2: Convert to fraction form
    6,351.75/9,528.17 = 1,734.75/x
  3. Step 3: Cross multiply
    6,351.75x = 9,528.17 × 1,734.75
  4. Step 4: Simplify right side
    6,351.75x = 16,528,984.23
  5. Step 5: Solve for x
    x = 16,528,984.23/6,351.75
  6. Step 6: Final answer
    x = 2,602.27

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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.