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Finding the Fourth Proportional to 6,697.84, 10,046.70 and 3,943.66

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Solution

The fourth proportional to 6,697.84, 10,046.70 and 3,943.66 is: 5,915.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,697.84 : 10,046.70 = 3,943.66 : x
  2. Step 2: Convert to fraction form
    6,697.84/10,046.70 = 3,943.66/x
  3. Step 3: Cross multiply
    6,697.84x = 10,046.70 × 3,943.66
  4. Step 4: Simplify right side
    6,697.84x = 39,620,768.92
  5. Step 5: Solve for x
    x = 39,620,768.92/6,697.84
  6. Step 6: Final answer
    x = 5,915.45

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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.