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Finding the Fourth Proportional to 5,494.64, 7,583.16 and 3,137.14

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Solution

The fourth proportional to 5,494.64, 7,583.16 and 3,137.14 is: 4,329.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,494.64 : 7,583.16 = 3,137.14 : x
  2. Step 2: Convert to fraction form
    5,494.64/7,583.16 = 3,137.14/x
  3. Step 3: Cross multiply
    5,494.64x = 7,583.16 × 3,137.14
  4. Step 4: Simplify right side
    5,494.64x = 23,789,434.56
  5. Step 5: Solve for x
    x = 23,789,434.56/5,494.64
  6. Step 6: Final answer
    x = 4,329.57

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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.