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Finding the Fourth Proportional to 6,830.73, 9,364.97 and 6,706.19

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Solution

The fourth proportional to 6,830.73, 9,364.97 and 6,706.19 is: 9,194.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,830.73 : 9,364.97 = 6,706.19 : x
  2. Step 2: Convert to fraction form
    6,830.73/9,364.97 = 6,706.19/x
  3. Step 3: Cross multiply
    6,830.73x = 9,364.97 × 6,706.19
  4. Step 4: Simplify right side
    6,830.73x = 62,803,270.62
  5. Step 5: Solve for x
    x = 62,803,270.62/6,830.73
  6. Step 6: Final answer
    x = 9,194.23

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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 (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.