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Finding the Fourth Proportional to 7,198.07, 9,929.54 and 4,956.05

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Solution

The fourth proportional to 7,198.07, 9,929.54 and 4,956.05 is: 6,836.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,198.07 : 9,929.54 = 4,956.05 : x
  2. Step 2: Convert to fraction form
    7,198.07/9,929.54 = 4,956.05/x
  3. Step 3: Cross multiply
    7,198.07x = 9,929.54 × 4,956.05
  4. Step 4: Simplify right side
    7,198.07x = 49,211,299.06
  5. Step 5: Solve for x
    x = 49,211,299.06/7,198.07
  6. Step 6: Final answer
    x = 6,836.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.