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Finding the Fourth Proportional to 6,177.66, 9,268.24 and 2,482.50

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Solution

The fourth proportional to 6,177.66, 9,268.24 and 2,482.50 is: 3,724.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,177.66 : 9,268.24 = 2,482.50 : x
  2. Step 2: Convert to fraction form
    6,177.66/9,268.24 = 2,482.50/x
  3. Step 3: Cross multiply
    6,177.66x = 9,268.24 × 2,482.50
  4. Step 4: Simplify right side
    6,177.66x = 23,008,405.80
  5. Step 5: Solve for x
    x = 23,008,405.80/6,177.66
  6. Step 6: Final answer
    x = 3,724.45

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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.