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Finding the Fourth Proportional to 9,930.64, 14,896 and 3,356.84

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Solution

The fourth proportional to 9,930.64, 14,896 and 3,356.84 is: 5,035.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,930.64 : 14,896 = 3,356.84 : x
  2. Step 2: Convert to fraction form
    9,930.64/14,896 = 3,356.84/x
  3. Step 3: Cross multiply
    9,930.64x = 14,896 × 3,356.84
  4. Step 4: Simplify right side
    9,930.64x = 50,003,488.64
  5. Step 5: Solve for x
    x = 50,003,488.64/9,930.64
  6. Step 6: Final answer
    x = 5,035.27

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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.