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Finding the Fourth Proportional to 7,790.75, 10,751.49 and 4,254.23

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Solution

The fourth proportional to 7,790.75, 10,751.49 and 4,254.23 is: 5,870.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,790.75 : 10,751.49 = 4,254.23 : x
  2. Step 2: Convert to fraction form
    7,790.75/10,751.49 = 4,254.23/x
  3. Step 3: Cross multiply
    7,790.75x = 10,751.49 × 4,254.23
  4. Step 4: Simplify right side
    7,790.75x = 45,739,236.27
  5. Step 5: Solve for x
    x = 45,739,236.27/7,790.75
  6. Step 6: Final answer
    x = 5,870.97

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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.