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Finding the Fourth Proportional to 9,800.13, 14,701.83 and 4,869.93

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Solution

The fourth proportional to 9,800.13, 14,701.83 and 4,869.93 is: 7,305.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,800.13 : 14,701.83 = 4,869.93 : x
  2. Step 2: Convert to fraction form
    9,800.13/14,701.83 = 4,869.93/x
  3. Step 3: Cross multiply
    9,800.13x = 14,701.83 × 4,869.93
  4. Step 4: Simplify right side
    9,800.13x = 71,596,882.97
  5. Step 5: Solve for x
    x = 71,596,882.97/9,800.13
  6. Step 6: Final answer
    x = 7,305.71

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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.