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Finding the Fourth Proportional to 4,734.96, 7,111.08 and 2,142.96

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Solution

The fourth proportional to 4,734.96, 7,111.08 and 2,142.96 is: 3,218.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,734.96 : 7,111.08 = 2,142.96 : x
  2. Step 2: Convert to fraction form
    4,734.96/7,111.08 = 2,142.96/x
  3. Step 3: Cross multiply
    4,734.96x = 7,111.08 × 2,142.96
  4. Step 4: Simplify right side
    4,734.96x = 15,238,760.00
  5. Step 5: Solve for x
    x = 15,238,760.00/4,734.96
  6. Step 6: Final answer
    x = 3,218.35

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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.