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Finding the Fourth Proportional to 15,716.89, 21,688.71 and 8,642.89

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Solution

The fourth proportional to 15,716.89, 21,688.71 and 8,642.89 is: 11,926.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,716.89 : 21,688.71 = 8,642.89 : x
  2. Step 2: Convert to fraction form
    15,716.89/21,688.71 = 8,642.89/x
  3. Step 3: Cross multiply
    15,716.89x = 21,688.71 × 8,642.89
  4. Step 4: Simplify right side
    15,716.89x = 187,453,091.56
  5. Step 5: Solve for x
    x = 187,453,091.56/15,716.89
  6. Step 6: Final answer
    x = 11,926.86

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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.