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Finding the Fourth Proportional to 9,996, 14,994.24 and 3,071.04

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Solution

The fourth proportional to 9,996, 14,994.24 and 3,071.04 is: 4,606.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,996 : 14,994.24 = 3,071.04 : x
  2. Step 2: Convert to fraction form
    9,996/14,994.24 = 3,071.04/x
  3. Step 3: Cross multiply
    9,996x = 14,994.24 × 3,071.04
  4. Step 4: Simplify right side
    9,996x = 46,047,910.81
  5. Step 5: Solve for x
    x = 46,047,910.81/9,996
  6. Step 6: Final answer
    x = 4,606.63

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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.