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Finding the Fourth Proportional to 6,270.30, 9,449.46 and 5,646.36

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Solution

The fourth proportional to 6,270.30, 9,449.46 and 5,646.36 is: 8,509.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,270.30 : 9,449.46 = 5,646.36 : x
  2. Step 2: Convert to fraction form
    6,270.30/9,449.46 = 5,646.36/x
  3. Step 3: Cross multiply
    6,270.30x = 9,449.46 × 5,646.36
  4. Step 4: Simplify right side
    6,270.30x = 53,355,052.97
  5. Step 5: Solve for x
    x = 53,355,052.97/6,270.30
  6. Step 6: Final answer
    x = 8,509.17

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.