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Finding the Fourth Proportional to 6,202, 8,533.65 and 5,986.54

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Solution

The fourth proportional to 6,202, 8,533.65 and 5,986.54 is: 8,237.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,202 : 8,533.65 = 5,986.54 : x
  2. Step 2: Convert to fraction form
    6,202/8,533.65 = 5,986.54/x
  3. Step 3: Cross multiply
    6,202x = 8,533.65 × 5,986.54
  4. Step 4: Simplify right side
    6,202x = 51,087,037.07
  5. Step 5: Solve for x
    x = 51,087,037.07/6,202
  6. Step 6: Final answer
    x = 8,237.19

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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.