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Finding the Fourth Proportional to 6,583.12, 9,882.39 and 5,197.39

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Solution

The fourth proportional to 6,583.12, 9,882.39 and 5,197.39 is: 7,802.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,583.12 : 9,882.39 = 5,197.39 : x
  2. Step 2: Convert to fraction form
    6,583.12/9,882.39 = 5,197.39/x
  3. Step 3: Cross multiply
    6,583.12x = 9,882.39 × 5,197.39
  4. Step 4: Simplify right side
    6,583.12x = 51,362,634.96
  5. Step 5: Solve for x
    x = 51,362,634.96/6,583.12
  6. Step 6: Final answer
    x = 7,802.17

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.