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Finding the Fourth Proportional to 4,762.94, 7,145.22 and 1,643.27

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Solution

The fourth proportional to 4,762.94, 7,145.22 and 1,643.27 is: 2,465.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,762.94 : 7,145.22 = 1,643.27 : x
  2. Step 2: Convert to fraction form
    4,762.94/7,145.22 = 1,643.27/x
  3. Step 3: Cross multiply
    4,762.94x = 7,145.22 × 1,643.27
  4. Step 4: Simplify right side
    4,762.94x = 11,741,525.67
  5. Step 5: Solve for x
    x = 11,741,525.67/4,762.94
  6. Step 6: Final answer
    x = 2,465.18

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.