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Finding the Fourth Proportional to 4,074.54, 6,114.18 and 1,734.42

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Solution

The fourth proportional to 4,074.54, 6,114.18 and 1,734.42 is: 2,602.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,074.54 : 6,114.18 = 1,734.42 : x
  2. Step 2: Convert to fraction form
    4,074.54/6,114.18 = 1,734.42/x
  3. Step 3: Cross multiply
    4,074.54x = 6,114.18 × 1,734.42
  4. Step 4: Simplify right side
    4,074.54x = 10,604,556.08
  5. Step 5: Solve for x
    x = 10,604,556.08/4,074.54
  6. Step 6: Final answer
    x = 2,602.64

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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.