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Finding the Fourth Proportional to 6,274.55, 9,411.83 and 2,989.97

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Solution

The fourth proportional to 6,274.55, 9,411.83 and 2,989.97 is: 4,484.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,274.55 : 9,411.83 = 2,989.97 : x
  2. Step 2: Convert to fraction form
    6,274.55/9,411.83 = 2,989.97/x
  3. Step 3: Cross multiply
    6,274.55x = 9,411.83 × 2,989.97
  4. Step 4: Simplify right side
    6,274.55x = 28,141,027.34
  5. Step 5: Solve for x
    x = 28,141,027.34/6,274.55
  6. Step 6: Final answer
    x = 4,484.95

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1.5x scale

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.