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Finding the Fourth Proportional to 9,802.92, 14,704.94 and 2,782.38

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Solution

The fourth proportional to 9,802.92, 14,704.94 and 2,782.38 is: 4,173.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,802.92 : 14,704.94 = 2,782.38 : x
  2. Step 2: Convert to fraction form
    9,802.92/14,704.94 = 2,782.38/x
  3. Step 3: Cross multiply
    9,802.92x = 14,704.94 × 2,782.38
  4. Step 4: Simplify right side
    9,802.92x = 40,914,730.96
  5. Step 5: Solve for x
    x = 40,914,730.96/9,802.92
  6. Step 6: Final answer
    x = 4,173.73

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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.