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Finding the Fourth Proportional to 6,864.63, 9,473.67 and 3,880.74

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Solution

The fourth proportional to 6,864.63, 9,473.67 and 3,880.74 is: 5,355.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,864.63 : 9,473.67 = 3,880.74 : x
  2. Step 2: Convert to fraction form
    6,864.63/9,473.67 = 3,880.74/x
  3. Step 3: Cross multiply
    6,864.63x = 9,473.67 × 3,880.74
  4. Step 4: Simplify right side
    6,864.63x = 36,764,850.12
  5. Step 5: Solve for x
    x = 36,764,850.12/6,864.63
  6. Step 6: Final answer
    x = 5,355.69

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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.