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Finding the Fourth Proportional to 6,177.71, 9,271.56 and 4,787.75

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Solution

The fourth proportional to 6,177.71, 9,271.56 and 4,787.75 is: 7,185.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,177.71 : 9,271.56 = 4,787.75 : x
  2. Step 2: Convert to fraction form
    6,177.71/9,271.56 = 4,787.75/x
  3. Step 3: Cross multiply
    6,177.71x = 9,271.56 × 4,787.75
  4. Step 4: Simplify right side
    6,177.71x = 44,389,911.39
  5. Step 5: Solve for x
    x = 44,389,911.39/6,177.71
  6. Step 6: Final answer
    x = 7,185.50

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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.