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Finding the Fourth Proportional to 6,533.36, 9,800.06 and 1,603.02

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Solution

The fourth proportional to 6,533.36, 9,800.06 and 1,603.02 is: 2,404.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,533.36 : 9,800.06 = 1,603.02 : x
  2. Step 2: Convert to fraction form
    6,533.36/9,800.06 = 1,603.02/x
  3. Step 3: Cross multiply
    6,533.36x = 9,800.06 × 1,603.02
  4. Step 4: Simplify right side
    6,533.36x = 15,709,684.17
  5. Step 5: Solve for x
    x = 15,709,684.17/6,533.36
  6. Step 6: Final answer
    x = 2,404.54

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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.