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Finding the Fourth Proportional to 6,456.14, 9,684.23 and 4,608.14

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Solution

The fourth proportional to 6,456.14, 9,684.23 and 4,608.14 is: 6,912.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,456.14 : 9,684.23 = 4,608.14 : x
  2. Step 2: Convert to fraction form
    6,456.14/9,684.23 = 4,608.14/x
  3. Step 3: Cross multiply
    6,456.14x = 9,684.23 × 4,608.14
  4. Step 4: Simplify right side
    6,456.14x = 44,626,287.63
  5. Step 5: Solve for x
    x = 44,626,287.63/6,456.14
  6. Step 6: Final answer
    x = 6,912.22

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Similar ratio
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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.