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Finding the Fourth Proportional to 4,644.38, 6,968.96 and 3,085.46

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Solution

The fourth proportional to 4,644.38, 6,968.96 and 3,085.46 is: 4,629.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,644.38 : 6,968.96 = 3,085.46 : x
  2. Step 2: Convert to fraction form
    4,644.38/6,968.96 = 3,085.46/x
  3. Step 3: Cross multiply
    4,644.38x = 6,968.96 × 3,085.46
  4. Step 4: Simplify right side
    4,644.38x = 21,502,397.05
  5. Step 5: Solve for x
    x = 21,502,397.05/4,644.38
  6. Step 6: Final answer
    x = 4,629.77

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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.