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Finding the Fourth Proportional to 9,834.99, 14,744.81 and 6,707.24

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Solution

The fourth proportional to 9,834.99, 14,744.81 and 6,707.24 is: 10,055.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,834.99 : 14,744.81 = 6,707.24 : x
  2. Step 2: Convert to fraction form
    9,834.99/14,744.81 = 6,707.24/x
  3. Step 3: Cross multiply
    9,834.99x = 14,744.81 × 6,707.24
  4. Step 4: Simplify right side
    9,834.99x = 98,896,982.75
  5. Step 5: Solve for x
    x = 98,896,982.75/9,834.99
  6. Step 6: Final answer
    x = 10,055.63

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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.