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Finding the Fourth Proportional to 14,849.91, 20,492.87 and 8,135.77

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Solution

The fourth proportional to 14,849.91, 20,492.87 and 8,135.77 is: 11,227.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,849.91 : 20,492.87 = 8,135.77 : x
  2. Step 2: Convert to fraction form
    14,849.91/20,492.87 = 8,135.77/x
  3. Step 3: Cross multiply
    14,849.91x = 20,492.87 × 8,135.77
  4. Step 4: Simplify right side
    14,849.91x = 166,725,292.41
  5. Step 5: Solve for x
    x = 166,725,292.41/14,849.91
  6. Step 6: Final answer
    x = 11,227.36

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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.