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Finding the Fourth Proportional to 6,697.70, 10,046.46 and 2,256.36

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Solution

The fourth proportional to 6,697.70, 10,046.46 and 2,256.36 is: 3,384.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,697.70 : 10,046.46 = 2,256.36 : x
  2. Step 2: Convert to fraction form
    6,697.70/10,046.46 = 2,256.36/x
  3. Step 3: Cross multiply
    6,697.70x = 10,046.46 × 2,256.36
  4. Step 4: Simplify right side
    6,697.70x = 22,668,401.27
  5. Step 5: Solve for x
    x = 22,668,401.27/6,697.70
  6. Step 6: Final answer
    x = 3,384.50

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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.