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Finding the Fourth Proportional to 6,804.68, 10,206.30 and 3,509.24

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Solution

The fourth proportional to 6,804.68, 10,206.30 and 3,509.24 is: 5,263.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,804.68 : 10,206.30 = 3,509.24 : x
  2. Step 2: Convert to fraction form
    6,804.68/10,206.30 = 3,509.24/x
  3. Step 3: Cross multiply
    6,804.68x = 10,206.30 × 3,509.24
  4. Step 4: Simplify right side
    6,804.68x = 35,816,356.21
  5. Step 5: Solve for x
    x = 35,816,356.21/6,804.68
  6. Step 6: Final answer
    x = 5,263.49

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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.