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Finding the Fourth Proportional to 4,684.24, 7,027.12 and 1,762.76

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Solution

The fourth proportional to 4,684.24, 7,027.12 and 1,762.76 is: 2,644.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,684.24 : 7,027.12 = 1,762.76 : x
  2. Step 2: Convert to fraction form
    4,684.24/7,027.12 = 1,762.76/x
  3. Step 3: Cross multiply
    4,684.24x = 7,027.12 × 1,762.76
  4. Step 4: Simplify right side
    4,684.24x = 12,387,126.05
  5. Step 5: Solve for x
    x = 12,387,126.05/4,684.24
  6. Step 6: Final answer
    x = 2,644.43

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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.