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Finding the Fourth Proportional to 4,762.06, 7,143.09 and 1,642.96

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Solution

The fourth proportional to 4,762.06, 7,143.09 and 1,642.96 is: 2,464.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,762.06 : 7,143.09 = 1,642.96 : x
  2. Step 2: Convert to fraction form
    4,762.06/7,143.09 = 1,642.96/x
  3. Step 3: Cross multiply
    4,762.06x = 7,143.09 × 1,642.96
  4. Step 4: Simplify right side
    4,762.06x = 11,735,811.15
  5. Step 5: Solve for x
    x = 11,735,811.15/4,762.06
  6. Step 6: Final answer
    x = 2,464.44

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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.