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Finding the Fourth Proportional to 4,957.97, 6,842.90 and 2,968.11

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Solution

The fourth proportional to 4,957.97, 6,842.90 and 2,968.11 is: 4,096.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,957.97 : 6,842.90 = 2,968.11 : x
  2. Step 2: Convert to fraction form
    4,957.97/6,842.90 = 2,968.11/x
  3. Step 3: Cross multiply
    4,957.97x = 6,842.90 × 2,968.11
  4. Step 4: Simplify right side
    4,957.97x = 20,310,487.34
  5. Step 5: Solve for x
    x = 20,310,487.34/4,957.97
  6. Step 6: Final answer
    x = 4,096.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.