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Finding the Fourth Proportional to 11,411.57, 15,746.04 and 6,375.83

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Solution

The fourth proportional to 11,411.57, 15,746.04 and 6,375.83 is: 8,797.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,411.57 : 15,746.04 = 6,375.83 : x
  2. Step 2: Convert to fraction form
    11,411.57/15,746.04 = 6,375.83/x
  3. Step 3: Cross multiply
    11,411.57x = 15,746.04 × 6,375.83
  4. Step 4: Simplify right side
    11,411.57x = 100,393,963.60
  5. Step 5: Solve for x
    x = 100,393,963.60/11,411.57
  6. Step 6: Final answer
    x = 8,797.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.