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Finding the Fourth Proportional to 6,800.32, 9,384.80 and 3,816

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Solution

The fourth proportional to 6,800.32, 9,384.80 and 3,816 is: 5,266.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,800.32 : 9,384.80 = 3,816 : x
  2. Step 2: Convert to fraction form
    6,800.32/9,384.80 = 3,816/x
  3. Step 3: Cross multiply
    6,800.32x = 9,384.80 × 3,816
  4. Step 4: Simplify right side
    6,800.32x = 35,812,396.80
  5. Step 5: Solve for x
    x = 35,812,396.80/6,800.32
  6. Step 6: Final answer
    x = 5,266.28

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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.