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Finding the Fourth Proportional to 9,523.86, 13,222.10 and 9,238.74

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Solution

The fourth proportional to 9,523.86, 13,222.10 and 9,238.74 is: 12,826.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,523.86 : 13,222.10 = 9,238.74 : x
  2. Step 2: Convert to fraction form
    9,523.86/13,222.10 = 9,238.74/x
  3. Step 3: Cross multiply
    9,523.86x = 13,222.10 × 9,238.74
  4. Step 4: Simplify right side
    9,523.86x = 122,155,497.96
  5. Step 5: Solve for x
    x = 122,155,497.96/9,523.86
  6. Step 6: Final answer
    x = 12,826.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.