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Finding the Fourth Proportional to 9,592.35, 13,238.07 and 5,815.86

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Solution

The fourth proportional to 9,592.35, 13,238.07 and 5,815.86 is: 8,026.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,592.35 : 13,238.07 = 5,815.86 : x
  2. Step 2: Convert to fraction form
    9,592.35/13,238.07 = 5,815.86/x
  3. Step 3: Cross multiply
    9,592.35x = 13,238.07 × 5,815.86
  4. Step 4: Simplify right side
    9,592.35x = 76,990,761.79
  5. Step 5: Solve for x
    x = 76,990,761.79/9,592.35
  6. Step 6: Final answer
    x = 8,026.27

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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.