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Finding the Fourth Proportional to 6,408, 9,599.24 and 4,210.06

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Solution

The fourth proportional to 6,408, 9,599.24 and 4,210.06 is: 6,306.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,408 : 9,599.24 = 4,210.06 : x
  2. Step 2: Convert to fraction form
    6,408/9,599.24 = 4,210.06/x
  3. Step 3: Cross multiply
    6,408x = 9,599.24 × 4,210.06
  4. Step 4: Simplify right side
    6,408x = 40,413,376.35
  5. Step 5: Solve for x
    x = 40,413,376.35/6,408
  6. Step 6: Final answer
    x = 6,306.71

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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.