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Finding the Fourth Proportional to 6,107.70, 9,154.80 and 2,408.70

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Solution

The fourth proportional to 6,107.70, 9,154.80 and 2,408.70 is: 3,610.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,107.70 : 9,154.80 = 2,408.70 : x
  2. Step 2: Convert to fraction form
    6,107.70/9,154.80 = 2,408.70/x
  3. Step 3: Cross multiply
    6,107.70x = 9,154.80 × 2,408.70
  4. Step 4: Simplify right side
    6,107.70x = 22,051,166.76
  5. Step 5: Solve for x
    x = 22,051,166.76/6,107.70
  6. Step 6: Final answer
    x = 3,610.39

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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.