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Finding the Fourth Proportional to 14,497.75, 20,006.90 and 7,873.75

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Solution

The fourth proportional to 14,497.75, 20,006.90 and 7,873.75 is: 10,865.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,497.75 : 20,006.90 = 7,873.75 : x
  2. Step 2: Convert to fraction form
    14,497.75/20,006.90 = 7,873.75/x
  3. Step 3: Cross multiply
    14,497.75x = 20,006.90 × 7,873.75
  4. Step 4: Simplify right side
    14,497.75x = 157,529,328.88
  5. Step 5: Solve for x
    x = 157,529,328.88/14,497.75
  6. Step 6: Final answer
    x = 10,865.78

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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.