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Finding the Fourth Proportional to 6,106.88, 9,158.52 and 2,596.88

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Solution

The fourth proportional to 6,106.88, 9,158.52 and 2,596.88 is: 3,894.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,106.88 : 9,158.52 = 2,596.88 : x
  2. Step 2: Convert to fraction form
    6,106.88/9,158.52 = 2,596.88/x
  3. Step 3: Cross multiply
    6,106.88x = 9,158.52 × 2,596.88
  4. Step 4: Simplify right side
    6,106.88x = 23,783,577.42
  5. Step 5: Solve for x
    x = 23,783,577.42/6,106.88
  6. Step 6: Final answer
    x = 3,894.55

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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.