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Finding the Fourth Proportional to 23,124.86, 34,690.90 and 7,538.86

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Solution

The fourth proportional to 23,124.86, 34,690.90 and 7,538.86 is: 11,309.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,124.86 : 34,690.90 = 7,538.86 : x
  2. Step 2: Convert to fraction form
    23,124.86/34,690.90 = 7,538.86/x
  3. Step 3: Cross multiply
    23,124.86x = 34,690.90 × 7,538.86
  4. Step 4: Simplify right side
    23,124.86x = 261,529,838.37
  5. Step 5: Solve for x
    x = 261,529,838.37/23,124.86
  6. Step 6: Final answer
    x = 11,309.47

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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.