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Finding the Fourth Proportional to 6,562.50, 9,831.33 and 5,084.28

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Solution

The fourth proportional to 6,562.50, 9,831.33 and 5,084.28 is: 7,616.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,562.50 : 9,831.33 = 5,084.28 : x
  2. Step 2: Convert to fraction form
    6,562.50/9,831.33 = 5,084.28/x
  3. Step 3: Cross multiply
    6,562.50x = 9,831.33 × 5,084.28
  4. Step 4: Simplify right side
    6,562.50x = 49,985,234.49
  5. Step 5: Solve for x
    x = 49,985,234.49/6,562.50
  6. Step 6: Final answer
    x = 7,616.80

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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.