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Finding the Fourth Proportional to 6,655.62, 9,185.15 and 3,823.00

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Solution

The fourth proportional to 6,655.62, 9,185.15 and 3,823.00 is: 5,275.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,655.62 : 9,185.15 = 3,823.00 : x
  2. Step 2: Convert to fraction form
    6,655.62/9,185.15 = 3,823.00/x
  3. Step 3: Cross multiply
    6,655.62x = 9,185.15 × 3,823.00
  4. Step 4: Simplify right side
    6,655.62x = 35,114,786.37
  5. Step 5: Solve for x
    x = 35,114,786.37/6,655.62
  6. Step 6: Final answer
    x = 5,275.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.