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Finding the Fourth Proportional to 6,596.16, 9,892.80 and 3,084

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Solution

The fourth proportional to 6,596.16, 9,892.80 and 3,084 is: 4,625.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,596.16 : 9,892.80 = 3,084 : x
  2. Step 2: Convert to fraction form
    6,596.16/9,892.80 = 3,084/x
  3. Step 3: Cross multiply
    6,596.16x = 9,892.80 × 3,084
  4. Step 4: Simplify right side
    6,596.16x = 30,509,395.20
  5. Step 5: Solve for x
    x = 30,509,395.20/6,596.16
  6. Step 6: Final answer
    x = 4,625.33

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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.