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Finding the Fourth Proportional to 6,865.24, 9,473.93 and 3,880.97

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Solution

The fourth proportional to 6,865.24, 9,473.93 and 3,880.97 is: 5,355.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,865.24 : 9,473.93 = 3,880.97 : x
  2. Step 2: Convert to fraction form
    6,865.24/9,473.93 = 3,880.97/x
  3. Step 3: Cross multiply
    6,865.24x = 9,473.93 × 3,880.97
  4. Step 4: Simplify right side
    6,865.24x = 36,768,018.71
  5. Step 5: Solve for x
    x = 36,768,018.71/6,865.24
  6. Step 6: Final answer
    x = 5,355.68

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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.