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Finding the Fourth Proportional to 9,653.96, 14,480.94 and 6,213.08

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Solution

The fourth proportional to 9,653.96, 14,480.94 and 6,213.08 is: 9,319.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,653.96 : 14,480.94 = 6,213.08 : x
  2. Step 2: Convert to fraction form
    9,653.96/14,480.94 = 6,213.08/x
  3. Step 3: Cross multiply
    9,653.96x = 14,480.94 × 6,213.08
  4. Step 4: Simplify right side
    9,653.96x = 89,971,238.70
  5. Step 5: Solve for x
    x = 89,971,238.70/9,653.96
  6. Step 6: Final answer
    x = 9,319.62

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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.