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Finding the Fourth Proportional to 6,674.85, 10,011.42 and 1,744.47

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Solution

The fourth proportional to 6,674.85, 10,011.42 and 1,744.47 is: 2,616.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,674.85 : 10,011.42 = 1,744.47 : x
  2. Step 2: Convert to fraction form
    6,674.85/10,011.42 = 1,744.47/x
  3. Step 3: Cross multiply
    6,674.85x = 10,011.42 × 1,744.47
  4. Step 4: Simplify right side
    6,674.85x = 17,464,621.85
  5. Step 5: Solve for x
    x = 17,464,621.85/6,674.85
  6. Step 6: Final answer
    x = 2,616.48

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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.