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Finding the Fourth Proportional to 9,902.89, 14,854.33 and 2,406.41

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Solution

The fourth proportional to 9,902.89, 14,854.33 and 2,406.41 is: 3,609.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,902.89 : 14,854.33 = 2,406.41 : x
  2. Step 2: Convert to fraction form
    9,902.89/14,854.33 = 2,406.41/x
  3. Step 3: Cross multiply
    9,902.89x = 14,854.33 × 2,406.41
  4. Step 4: Simplify right side
    9,902.89x = 35,745,533.98
  5. Step 5: Solve for x
    x = 35,745,533.98/9,902.89
  6. Step 6: Final answer
    x = 3,609.61

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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.