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Finding the Fourth Proportional to 6,408.30, 9,603.45 and 5,094.30

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Solution

The fourth proportional to 6,408.30, 9,603.45 and 5,094.30 is: 7,634.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,408.30 : 9,603.45 = 5,094.30 : x
  2. Step 2: Convert to fraction form
    6,408.30/9,603.45 = 5,094.30/x
  3. Step 3: Cross multiply
    6,408.30x = 9,603.45 × 5,094.30
  4. Step 4: Simplify right side
    6,408.30x = 48,922,855.34
  5. Step 5: Solve for x
    x = 48,922,855.34/6,408.30
  6. Step 6: Final answer
    x = 7,634.30

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1.5x scale

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.