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Finding the Fourth Proportional to 4,194.54, 6,292.74 and 1,597.50

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Solution

The fourth proportional to 4,194.54, 6,292.74 and 1,597.50 is: 2,396.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,194.54 : 6,292.74 = 1,597.50 : x
  2. Step 2: Convert to fraction form
    4,194.54/6,292.74 = 1,597.50/x
  3. Step 3: Cross multiply
    4,194.54x = 6,292.74 × 1,597.50
  4. Step 4: Simplify right side
    4,194.54x = 10,052,652.15
  5. Step 5: Solve for x
    x = 10,052,652.15/4,194.54
  6. Step 6: Final answer
    x = 2,396.60

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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.