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Finding the Fourth Proportional to 6,800.40, 9,384.56 and 3,816.23

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Solution

The fourth proportional to 6,800.40, 9,384.56 and 3,816.23 is: 5,266.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,800.40 : 9,384.56 = 3,816.23 : x
  2. Step 2: Convert to fraction form
    6,800.40/9,384.56 = 3,816.23/x
  3. Step 3: Cross multiply
    6,800.40x = 9,384.56 × 3,816.23
  4. Step 4: Simplify right side
    6,800.40x = 35,813,573.40
  5. Step 5: Solve for x
    x = 35,813,573.40/6,800.40
  6. Step 6: Final answer
    x = 5,266.39

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Half scale
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Double scale
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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.