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Finding the Fourth Proportional to 11,718.95, 16,167.53 and 7,234.92

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Solution

The fourth proportional to 11,718.95, 16,167.53 and 7,234.92 is: 9,981.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,718.95 : 16,167.53 = 7,234.92 : x
  2. Step 2: Convert to fraction form
    11,718.95/16,167.53 = 7,234.92/x
  3. Step 3: Cross multiply
    11,718.95x = 16,167.53 × 7,234.92
  4. Step 4: Simplify right side
    11,718.95x = 116,970,749.97
  5. Step 5: Solve for x
    x = 116,970,749.97/11,718.95
  6. Step 6: Final answer
    x = 9,981.33

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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.