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Finding the Fourth Proportional to 7,408.26, 10,206 and 6,089.58

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Solution

The fourth proportional to 7,408.26, 10,206 and 6,089.58 is: 8,389.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,408.26 : 10,206 = 6,089.58 : x
  2. Step 2: Convert to fraction form
    7,408.26/10,206 = 6,089.58/x
  3. Step 3: Cross multiply
    7,408.26x = 10,206 × 6,089.58
  4. Step 4: Simplify right side
    7,408.26x = 62,150,253.48
  5. Step 5: Solve for x
    x = 62,150,253.48/7,408.26
  6. Step 6: Final answer
    x = 8,389.32

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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.