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Finding the Fourth Proportional to 5,682.51, 7,815.83 and 4,560.98

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Solution

The fourth proportional to 5,682.51, 7,815.83 and 4,560.98 is: 6,273.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,682.51 : 7,815.83 = 4,560.98 : x
  2. Step 2: Convert to fraction form
    5,682.51/7,815.83 = 4,560.98/x
  3. Step 3: Cross multiply
    5,682.51x = 7,815.83 × 4,560.98
  4. Step 4: Simplify right side
    5,682.51x = 35,647,844.31
  5. Step 5: Solve for x
    x = 35,647,844.31/5,682.51
  6. Step 6: Final answer
    x = 6,273.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.