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Finding the Fourth Proportional to 4,843.51, 7,266.50 and 1,380.76

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Solution

The fourth proportional to 4,843.51, 7,266.50 and 1,380.76 is: 2,071.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,843.51 : 7,266.50 = 1,380.76 : x
  2. Step 2: Convert to fraction form
    4,843.51/7,266.50 = 1,380.76/x
  3. Step 3: Cross multiply
    4,843.51x = 7,266.50 × 1,380.76
  4. Step 4: Simplify right side
    4,843.51x = 10,033,292.54
  5. Step 5: Solve for x
    x = 10,033,292.54/4,843.51
  6. Step 6: Final answer
    x = 2,071.49

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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.