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Finding the Fourth Proportional to 6,809.15, 9,393.41 and 5,825.00

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Solution

The fourth proportional to 6,809.15, 9,393.41 and 5,825.00 is: 8,035.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,809.15 : 9,393.41 = 5,825.00 : x
  2. Step 2: Convert to fraction form
    6,809.15/9,393.41 = 5,825.00/x
  3. Step 3: Cross multiply
    6,809.15x = 9,393.41 × 5,825.00
  4. Step 4: Simplify right side
    6,809.15x = 54,716,537.16
  5. Step 5: Solve for x
    x = 54,716,537.16/6,809.15
  6. Step 6: Final answer
    x = 8,035.74

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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.