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Finding the Fourth Proportional to 6,534.45, 9,801.36 and 1,603.80

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Solution

The fourth proportional to 6,534.45, 9,801.36 and 1,603.80 is: 2,405.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,534.45 : 9,801.36 = 1,603.80 : x
  2. Step 2: Convert to fraction form
    6,534.45/9,801.36 = 1,603.80/x
  3. Step 3: Cross multiply
    6,534.45x = 9,801.36 × 1,603.80
  4. Step 4: Simplify right side
    6,534.45x = 15,719,421.17
  5. Step 5: Solve for x
    x = 15,719,421.17/6,534.45
  6. Step 6: Final answer
    x = 2,405.62

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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.