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Finding the Fourth Proportional to 14,992.50, 20,690.47 and 8,278.11

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Solution

The fourth proportional to 14,992.50, 20,690.47 and 8,278.11 is: 11,424.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,992.50 : 20,690.47 = 8,278.11 : x
  2. Step 2: Convert to fraction form
    14,992.50/20,690.47 = 8,278.11/x
  3. Step 3: Cross multiply
    14,992.50x = 20,690.47 × 8,278.11
  4. Step 4: Simplify right side
    14,992.50x = 171,277,945.22
  5. Step 5: Solve for x
    x = 171,277,945.22/14,992.50
  6. Step 6: Final answer
    x = 11,424.24

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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.