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Finding the Fourth Proportional to 7,741.92, 10,683.90 and 4,205.28

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Solution

The fourth proportional to 7,741.92, 10,683.90 and 4,205.28 is: 5,803.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,741.92 : 10,683.90 = 4,205.28 : x
  2. Step 2: Convert to fraction form
    7,741.92/10,683.90 = 4,205.28/x
  3. Step 3: Cross multiply
    7,741.92x = 10,683.90 × 4,205.28
  4. Step 4: Simplify right side
    7,741.92x = 44,928,790.99
  5. Step 5: Solve for x
    x = 44,928,790.99/7,741.92
  6. Step 6: Final answer
    x = 5,803.31

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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.