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Finding the Fourth Proportional to 7,820.76, 11,732.76 and 2,626.50

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Solution

The fourth proportional to 7,820.76, 11,732.76 and 2,626.50 is: 3,940.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,820.76 : 11,732.76 = 2,626.50 : x
  2. Step 2: Convert to fraction form
    7,820.76/11,732.76 = 2,626.50/x
  3. Step 3: Cross multiply
    7,820.76x = 11,732.76 × 2,626.50
  4. Step 4: Simplify right side
    7,820.76x = 30,816,094.14
  5. Step 5: Solve for x
    x = 30,816,094.14/7,820.76
  6. Step 6: Final answer
    x = 3,940.29

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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.