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Finding the Fourth Proportional to 7,740.76, 11,611.68 and 2,546.68

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Solution

The fourth proportional to 7,740.76, 11,611.68 and 2,546.68 is: 3,820.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,740.76 : 11,611.68 = 2,546.68 : x
  2. Step 2: Convert to fraction form
    7,740.76/11,611.68 = 2,546.68/x
  3. Step 3: Cross multiply
    7,740.76x = 11,611.68 × 2,546.68
  4. Step 4: Simplify right side
    7,740.76x = 29,571,233.22
  5. Step 5: Solve for x
    x = 29,571,233.22/7,740.76
  6. Step 6: Final answer
    x = 3,820.20

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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.