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Finding the Fourth Proportional to 6,571.75, 9,827.66 and 4,907.04

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Solution

The fourth proportional to 6,571.75, 9,827.66 and 4,907.04 is: 7,338.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,571.75 : 9,827.66 = 4,907.04 : x
  2. Step 2: Convert to fraction form
    6,571.75/9,827.66 = 4,907.04/x
  3. Step 3: Cross multiply
    6,571.75x = 9,827.66 × 4,907.04
  4. Step 4: Simplify right side
    6,571.75x = 48,224,732.99
  5. Step 5: Solve for x
    x = 48,224,732.99/6,571.75
  6. Step 6: Final answer
    x = 7,338.19

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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.