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Finding the Fourth Proportional to 8,262.40, 12,401.70 and 4,107.10

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Solution

The fourth proportional to 8,262.40, 12,401.70 and 4,107.10 is: 6,164.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,262.40 : 12,401.70 = 4,107.10 : x
  2. Step 2: Convert to fraction form
    8,262.40/12,401.70 = 4,107.10/x
  3. Step 3: Cross multiply
    8,262.40x = 12,401.70 × 4,107.10
  4. Step 4: Simplify right side
    8,262.40x = 50,935,022.07
  5. Step 5: Solve for x
    x = 50,935,022.07/8,262.40
  6. Step 6: Final answer
    x = 6,164.68

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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.