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Finding the Fourth Proportional to 9,609.84, 14,414.76 and 2,684.34

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Solution

The fourth proportional to 9,609.84, 14,414.76 and 2,684.34 is: 4,026.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,609.84 : 14,414.76 = 2,684.34 : x
  2. Step 2: Convert to fraction form
    9,609.84/14,414.76 = 2,684.34/x
  3. Step 3: Cross multiply
    9,609.84x = 14,414.76 × 2,684.34
  4. Step 4: Simplify right side
    9,609.84x = 38,694,116.86
  5. Step 5: Solve for x
    x = 38,694,116.86/9,609.84
  6. Step 6: Final answer
    x = 4,026.51

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Double scale
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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.