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Finding the Fourth Proportional to 6,704.81, 9,252.86 and 5,023.25

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Solution

The fourth proportional to 6,704.81, 9,252.86 and 5,023.25 is: 6,932.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,704.81 : 9,252.86 = 5,023.25 : x
  2. Step 2: Convert to fraction form
    6,704.81/9,252.86 = 5,023.25/x
  3. Step 3: Cross multiply
    6,704.81x = 9,252.86 × 5,023.25
  4. Step 4: Simplify right side
    6,704.81x = 46,479,429.00
  5. Step 5: Solve for x
    x = 46,479,429.00/6,704.81
  6. Step 6: Final answer
    x = 6,932.25

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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.