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Finding the Fourth Proportional to 15,909.67, 21,954.06 and 9,195.74

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Solution

The fourth proportional to 15,909.67, 21,954.06 and 9,195.74 is: 12,689.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,909.67 : 21,954.06 = 9,195.74 : x
  2. Step 2: Convert to fraction form
    15,909.67/21,954.06 = 9,195.74/x
  3. Step 3: Cross multiply
    15,909.67x = 21,954.06 × 9,195.74
  4. Step 4: Simplify right side
    15,909.67x = 201,883,717.93
  5. Step 5: Solve for x
    x = 201,883,717.93/15,909.67
  6. Step 6: Final answer
    x = 12,689.37

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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.