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Finding the Fourth Proportional to 6,881.85, 9,497.05 and 3,738.11

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Solution

The fourth proportional to 6,881.85, 9,497.05 and 3,738.11 is: 5,158.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,881.85 : 9,497.05 = 3,738.11 : x
  2. Step 2: Convert to fraction form
    6,881.85/9,497.05 = 3,738.11/x
  3. Step 3: Cross multiply
    6,881.85x = 9,497.05 × 3,738.11
  4. Step 4: Simplify right side
    6,881.85x = 35,500,960.74
  5. Step 5: Solve for x
    x = 35,500,960.74/6,881.85
  6. Step 6: Final answer
    x = 5,158.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.