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Finding the Fourth Proportional to 6,533.86, 9,800.80 and 1,603.52

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Solution

The fourth proportional to 6,533.86, 9,800.80 and 1,603.52 is: 2,405.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,533.86 : 9,800.80 = 1,603.52 : x
  2. Step 2: Convert to fraction form
    6,533.86/9,800.80 = 1,603.52/x
  3. Step 3: Cross multiply
    6,533.86x = 9,800.80 × 1,603.52
  4. Step 4: Simplify right side
    6,533.86x = 15,715,778.82
  5. Step 5: Solve for x
    x = 15,715,778.82/6,533.86
  6. Step 6: Final answer
    x = 2,405.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.