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Finding the Fourth Proportional to 6,571.93, 9,069.25 and 4,214.06

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Solution

The fourth proportional to 6,571.93, 9,069.25 and 4,214.06 is: 5,815.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,571.93 : 9,069.25 = 4,214.06 : x
  2. Step 2: Convert to fraction form
    6,571.93/9,069.25 = 4,214.06/x
  3. Step 3: Cross multiply
    6,571.93x = 9,069.25 × 4,214.06
  4. Step 4: Simplify right side
    6,571.93x = 38,218,391.60
  5. Step 5: Solve for x
    x = 38,218,391.60/6,571.93
  6. Step 6: Final answer
    x = 5,815.40

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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.