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Finding the Fourth Proportional to 4,762.74, 6,563.22 and 3,644.94

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Solution

The fourth proportional to 4,762.74, 6,563.22 and 3,644.94 is: 5,022.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,762.74 : 6,563.22 = 3,644.94 : x
  2. Step 2: Convert to fraction form
    4,762.74/6,563.22 = 3,644.94/x
  3. Step 3: Cross multiply
    4,762.74x = 6,563.22 × 3,644.94
  4. Step 4: Simplify right side
    4,762.74x = 23,922,543.11
  5. Step 5: Solve for x
    x = 23,922,543.11/4,762.74
  6. Step 6: Final answer
    x = 5,022.85

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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.