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Finding the Fourth Proportional to 6,685, 10,024.74 and 2,522.92

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Solution

The fourth proportional to 6,685, 10,024.74 and 2,522.92 is: 3,783.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,685 : 10,024.74 = 2,522.92 : x
  2. Step 2: Convert to fraction form
    6,685/10,024.74 = 2,522.92/x
  3. Step 3: Cross multiply
    6,685x = 10,024.74 × 2,522.92
  4. Step 4: Simplify right side
    6,685x = 25,291,617.04
  5. Step 5: Solve for x
    x = 25,291,617.04/6,685
  6. Step 6: Final answer
    x = 3,783.34

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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.