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Finding the Fourth Proportional to 6,392.72, 9,571.37 and 4,828.01

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Solution

The fourth proportional to 6,392.72, 9,571.37 and 4,828.01 is: 7,228.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,392.72 : 9,571.37 = 4,828.01 : x
  2. Step 2: Convert to fraction form
    6,392.72/9,571.37 = 4,828.01/x
  3. Step 3: Cross multiply
    6,392.72x = 9,571.37 × 4,828.01
  4. Step 4: Simplify right side
    6,392.72x = 46,210,598.08
  5. Step 5: Solve for x
    x = 46,210,598.08/6,392.72
  6. Step 6: Final answer
    x = 7,228.63

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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.