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Finding the Fourth Proportional to 9,634.50, 14,454.67 and 6,828.77

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Solution

The fourth proportional to 9,634.50, 14,454.67 and 6,828.77 is: 10,245.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,634.50 : 14,454.67 = 6,828.77 : x
  2. Step 2: Convert to fraction form
    9,634.50/14,454.67 = 6,828.77/x
  3. Step 3: Cross multiply
    9,634.50x = 14,454.67 × 6,828.77
  4. Step 4: Simplify right side
    9,634.50x = 98,707,527.51
  5. Step 5: Solve for x
    x = 98,707,527.51/9,634.50
  6. Step 6: Final answer
    x = 10,245.22

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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.