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Finding the Fourth Proportional to 9,819.97, 14,729.96 and 4,626.25

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Solution

The fourth proportional to 9,819.97, 14,729.96 and 4,626.25 is: 6,939.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,819.97 : 14,729.96 = 4,626.25 : x
  2. Step 2: Convert to fraction form
    9,819.97/14,729.96 = 4,626.25/x
  3. Step 3: Cross multiply
    9,819.97x = 14,729.96 × 4,626.25
  4. Step 4: Simplify right side
    9,819.97x = 68,144,477.45
  5. Step 5: Solve for x
    x = 68,144,477.45/9,819.97
  6. Step 6: Final answer
    x = 6,939.38

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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.