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Finding the Fourth Proportional to 7,195.92, 9,943.20 and 5,635.86

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Solution

The fourth proportional to 7,195.92, 9,943.20 and 5,635.86 is: 7,787.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,195.92 : 9,943.20 = 5,635.86 : x
  2. Step 2: Convert to fraction form
    7,195.92/9,943.20 = 5,635.86/x
  3. Step 3: Cross multiply
    7,195.92x = 9,943.20 × 5,635.86
  4. Step 4: Simplify right side
    7,195.92x = 56,038,483.15
  5. Step 5: Solve for x
    x = 56,038,483.15/7,195.92
  6. Step 6: Final answer
    x = 7,787.54

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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.