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Finding the Fourth Proportional to 5,146.27, 7,714.81 and 1,858.63

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Solution

The fourth proportional to 5,146.27, 7,714.81 and 1,858.63 is: 2,786.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,146.27 : 7,714.81 = 1,858.63 : x
  2. Step 2: Convert to fraction form
    5,146.27/7,714.81 = 1,858.63/x
  3. Step 3: Cross multiply
    5,146.27x = 7,714.81 × 1,858.63
  4. Step 4: Simplify right side
    5,146.27x = 14,338,977.31
  5. Step 5: Solve for x
    x = 14,338,977.31/5,146.27
  6. Step 6: Final answer
    x = 2,786.29

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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.