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Finding the Fourth Proportional to 4,953.64, 6,834.82 and 2,745.64

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Solution

The fourth proportional to 4,953.64, 6,834.82 and 2,745.64 is: 3,788.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,953.64 : 6,834.82 = 2,745.64 : x
  2. Step 2: Convert to fraction form
    4,953.64/6,834.82 = 2,745.64/x
  3. Step 3: Cross multiply
    4,953.64x = 6,834.82 × 2,745.64
  4. Step 4: Simplify right side
    4,953.64x = 18,765,955.18
  5. Step 5: Solve for x
    x = 18,765,955.18/4,953.64
  6. Step 6: Final answer
    x = 3,788.32

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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.