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Finding the Fourth Proportional to 4,364.84, 6,542.60 and 1,728.69

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Solution

The fourth proportional to 4,364.84, 6,542.60 and 1,728.69 is: 2,591.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,364.84 : 6,542.60 = 1,728.69 : x
  2. Step 2: Convert to fraction form
    4,364.84/6,542.60 = 1,728.69/x
  3. Step 3: Cross multiply
    4,364.84x = 6,542.60 × 1,728.69
  4. Step 4: Simplify right side
    4,364.84x = 11,310,118.55
  5. Step 5: Solve for x
    x = 11,310,118.55/4,364.84
  6. Step 6: Final answer
    x = 2,591.19

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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.