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Finding the Fourth Proportional to 8,408, 11,603.04 and 4,682.24

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Solution

The fourth proportional to 8,408, 11,603.04 and 4,682.24 is: 6,461.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,408 : 11,603.04 = 4,682.24 : x
  2. Step 2: Convert to fraction form
    8,408/11,603.04 = 4,682.24/x
  3. Step 3: Cross multiply
    8,408x = 11,603.04 × 4,682.24
  4. Step 4: Simplify right side
    8,408x = 54,328,218.01
  5. Step 5: Solve for x
    x = 54,328,218.01/8,408
  6. Step 6: Final answer
    x = 6,461.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.