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Finding the Fourth Proportional to 9,804.30, 14,698.24 and 6,834.03

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Solution

The fourth proportional to 9,804.30, 14,698.24 and 6,834.03 is: 10,245.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,804.30 : 14,698.24 = 6,834.03 : x
  2. Step 2: Convert to fraction form
    9,804.30/14,698.24 = 6,834.03/x
  3. Step 3: Cross multiply
    9,804.30x = 14,698.24 × 6,834.03
  4. Step 4: Simplify right side
    9,804.30x = 100,448,276.77
  5. Step 5: Solve for x
    x = 100,448,276.77/9,804.30
  6. Step 6: Final answer
    x = 10,245.32

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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.