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Finding the Fourth Proportional to 6,806.55, 9,393.32 and 3,973.48

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Solution

The fourth proportional to 6,806.55, 9,393.32 and 3,973.48 is: 5,483.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,806.55 : 9,393.32 = 3,973.48 : x
  2. Step 2: Convert to fraction form
    6,806.55/9,393.32 = 3,973.48/x
  3. Step 3: Cross multiply
    6,806.55x = 9,393.32 × 3,973.48
  4. Step 4: Simplify right side
    6,806.55x = 37,324,169.15
  5. Step 5: Solve for x
    x = 37,324,169.15/6,806.55
  6. Step 6: Final answer
    x = 5,483.57

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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.