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Finding the Fourth Proportional to 4,682.53, 6,993.41 and 4,242.90

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Solution

The fourth proportional to 4,682.53, 6,993.41 and 4,242.90 is: 6,336.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,682.53 : 6,993.41 = 4,242.90 : x
  2. Step 2: Convert to fraction form
    4,682.53/6,993.41 = 4,242.90/x
  3. Step 3: Cross multiply
    4,682.53x = 6,993.41 × 4,242.90
  4. Step 4: Simplify right side
    4,682.53x = 29,672,339.29
  5. Step 5: Solve for x
    x = 29,672,339.29/4,682.53
  6. Step 6: Final answer
    x = 6,336.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.