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Finding the Fourth Proportional to 7,775.70, 11,660.13 and 2,844.06

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Solution

The fourth proportional to 7,775.70, 11,660.13 and 2,844.06 is: 4,264.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,775.70 : 11,660.13 = 2,844.06 : x
  2. Step 2: Convert to fraction form
    7,775.70/11,660.13 = 2,844.06/x
  3. Step 3: Cross multiply
    7,775.70x = 11,660.13 × 2,844.06
  4. Step 4: Simplify right side
    7,775.70x = 33,162,109.33
  5. Step 5: Solve for x
    x = 33,162,109.33/7,775.70
  6. Step 6: Final answer
    x = 4,264.84

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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.