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Finding the Fourth Proportional to 7,048, 9,726.24 and 4,253.50

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Solution

The fourth proportional to 7,048, 9,726.24 and 4,253.50 is: 5,869.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,048 : 9,726.24 = 4,253.50 : x
  2. Step 2: Convert to fraction form
    7,048/9,726.24 = 4,253.50/x
  3. Step 3: Cross multiply
    7,048x = 9,726.24 × 4,253.50
  4. Step 4: Simplify right side
    7,048x = 41,370,561.84
  5. Step 5: Solve for x
    x = 41,370,561.84/7,048
  6. Step 6: Final answer
    x = 5,869.83

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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.