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Finding the Fourth Proportional to 9,922.65, 14,886.74 and 8,091.06

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Solution

The fourth proportional to 9,922.65, 14,886.74 and 8,091.06 is: 12,138.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,922.65 : 14,886.74 = 8,091.06 : x
  2. Step 2: Convert to fraction form
    9,922.65/14,886.74 = 8,091.06/x
  3. Step 3: Cross multiply
    9,922.65x = 14,886.74 × 8,091.06
  4. Step 4: Simplify right side
    9,922.65x = 120,449,506.54
  5. Step 5: Solve for x
    x = 120,449,506.54/9,922.65
  6. Step 6: Final answer
    x = 12,138.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.