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Finding the Fourth Proportional to 4,914.42, 6,779.49 and 3,024.42

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Solution

The fourth proportional to 4,914.42, 6,779.49 and 3,024.42 is: 4,172.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,914.42 : 6,779.49 = 3,024.42 : x
  2. Step 2: Convert to fraction form
    4,914.42/6,779.49 = 3,024.42/x
  3. Step 3: Cross multiply
    4,914.42x = 6,779.49 × 3,024.42
  4. Step 4: Simplify right side
    4,914.42x = 20,504,025.15
  5. Step 5: Solve for x
    x = 20,504,025.15/4,914.42
  6. Step 6: Final answer
    x = 4,172.22

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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.