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Finding the Fourth Proportional to 6,157.76, 9,233.88 and 1,774.19

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Solution

The fourth proportional to 6,157.76, 9,233.88 and 1,774.19 is: 2,660.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,157.76 : 9,233.88 = 1,774.19 : x
  2. Step 2: Convert to fraction form
    6,157.76/9,233.88 = 1,774.19/x
  3. Step 3: Cross multiply
    6,157.76x = 9,233.88 × 1,774.19
  4. Step 4: Simplify right side
    6,157.76x = 16,382,611.39
  5. Step 5: Solve for x
    x = 16,382,611.39/6,157.76
  6. Step 6: Final answer
    x = 2,660.48

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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.