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Finding the Fourth Proportional to 6,535.07, 9,018.42 and 3,846.38

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Solution

The fourth proportional to 6,535.07, 9,018.42 and 3,846.38 is: 5,308.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,535.07 : 9,018.42 = 3,846.38 : x
  2. Step 2: Convert to fraction form
    6,535.07/9,018.42 = 3,846.38/x
  3. Step 3: Cross multiply
    6,535.07x = 9,018.42 × 3,846.38
  4. Step 4: Simplify right side
    6,535.07x = 34,688,292.87
  5. Step 5: Solve for x
    x = 34,688,292.87/6,535.07
  6. Step 6: Final answer
    x = 5,308.03

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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.