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Finding the Fourth Proportional to 9,034.02, 13,611.24 and 8,157.51

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Solution

The fourth proportional to 9,034.02, 13,611.24 and 8,157.51 is: 12,290.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,034.02 : 13,611.24 = 8,157.51 : x
  2. Step 2: Convert to fraction form
    9,034.02/13,611.24 = 8,157.51/x
  3. Step 3: Cross multiply
    9,034.02x = 13,611.24 × 8,157.51
  4. Step 4: Simplify right side
    9,034.02x = 111,033,826.41
  5. Step 5: Solve for x
    x = 111,033,826.41/9,034.02
  6. Step 6: Final answer
    x = 12,290.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.