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Finding the Fourth Proportional to 4,608.34, 6,912.20 and 1,975.84

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Solution

The fourth proportional to 4,608.34, 6,912.20 and 1,975.84 is: 2,963.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,608.34 : 6,912.20 = 1,975.84 : x
  2. Step 2: Convert to fraction form
    4,608.34/6,912.20 = 1,975.84/x
  3. Step 3: Cross multiply
    4,608.34x = 6,912.20 × 1,975.84
  4. Step 4: Simplify right side
    4,608.34x = 13,657,388.91
  5. Step 5: Solve for x
    x = 13,657,388.91/4,608.34
  6. Step 6: Final answer
    x = 2,963.63

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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.