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Finding the Fourth Proportional to 6,865.83, 9,474.80 and 3,722.00

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Solution

The fourth proportional to 6,865.83, 9,474.80 and 3,722.00 is: 5,136.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,865.83 : 9,474.80 = 3,722.00 : x
  2. Step 2: Convert to fraction form
    6,865.83/9,474.80 = 3,722.00/x
  3. Step 3: Cross multiply
    6,865.83x = 9,474.80 × 3,722.00
  4. Step 4: Simplify right side
    6,865.83x = 35,265,139.62
  5. Step 5: Solve for x
    x = 35,265,139.62/6,865.83
  6. Step 6: Final answer
    x = 5,136.33

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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.