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Finding the Fourth Proportional to 9,838.25, 14,751.96 and 6,721.77

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Solution

The fourth proportional to 9,838.25, 14,751.96 and 6,721.77 is: 10,078.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,838.25 : 14,751.96 = 6,721.77 : x
  2. Step 2: Convert to fraction form
    9,838.25/14,751.96 = 6,721.77/x
  3. Step 3: Cross multiply
    9,838.25x = 14,751.96 × 6,721.77
  4. Step 4: Simplify right side
    9,838.25x = 99,159,282.17
  5. Step 5: Solve for x
    x = 99,159,282.17/9,838.25
  6. Step 6: Final answer
    x = 10,078.96

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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.