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Finding the Fourth Proportional to 9,069, 13,603.50 and 3,597

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Solution

The fourth proportional to 9,069, 13,603.50 and 3,597 is: 5,395.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,069 : 13,603.50 = 3,597 : x
  2. Step 2: Convert to fraction form
    9,069/13,603.50 = 3,597/x
  3. Step 3: Cross multiply
    9,069x = 13,603.50 × 3,597
  4. Step 4: Simplify right side
    9,069x = 48,931,789.50
  5. Step 5: Solve for x
    x = 48,931,789.50/9,069
  6. Step 6: Final answer
    x = 5,395.50

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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.