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Finding the Fourth Proportional to 15,922.46, 21,973.74 and 8,849

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Solution

The fourth proportional to 15,922.46, 21,973.74 and 8,849 is: 12,212.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,922.46 : 21,973.74 = 8,849 : x
  2. Step 2: Convert to fraction form
    15,922.46/21,973.74 = 8,849/x
  3. Step 3: Cross multiply
    15,922.46x = 21,973.74 × 8,849
  4. Step 4: Simplify right side
    15,922.46x = 194,445,625.26
  5. Step 5: Solve for x
    x = 194,445,625.26/15,922.46
  6. Step 6: Final answer
    x = 12,212.03

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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.