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Finding the Fourth Proportional to 6,398.94, 9,592.71 and 2,506.06

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Solution

The fourth proportional to 6,398.94, 9,592.71 and 2,506.06 is: 3,756.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,398.94 : 9,592.71 = 2,506.06 : x
  2. Step 2: Convert to fraction form
    6,398.94/9,592.71 = 2,506.06/x
  3. Step 3: Cross multiply
    6,398.94x = 9,592.71 × 2,506.06
  4. Step 4: Simplify right side
    6,398.94x = 24,039,906.82
  5. Step 5: Solve for x
    x = 24,039,906.82/6,398.94
  6. Step 6: Final answer
    x = 3,756.86

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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.