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Finding the Fourth Proportional to 6,274.73, 9,405.98 and 2,986.94

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Solution

The fourth proportional to 6,274.73, 9,405.98 and 2,986.94 is: 4,477.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,274.73 : 9,405.98 = 2,986.94 : x
  2. Step 2: Convert to fraction form
    6,274.73/9,405.98 = 2,986.94/x
  3. Step 3: Cross multiply
    6,274.73x = 9,405.98 × 2,986.94
  4. Step 4: Simplify right side
    6,274.73x = 28,095,117.68
  5. Step 5: Solve for x
    x = 28,095,117.68/6,274.73
  6. Step 6: Final answer
    x = 4,477.50

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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.