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Finding the Fourth Proportional to 9,347.69, 12,902.03 and 5,998.44

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Solution

The fourth proportional to 9,347.69, 12,902.03 and 5,998.44 is: 8,279.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,347.69 : 12,902.03 = 5,998.44 : x
  2. Step 2: Convert to fraction form
    9,347.69/12,902.03 = 5,998.44/x
  3. Step 3: Cross multiply
    9,347.69x = 12,902.03 × 5,998.44
  4. Step 4: Simplify right side
    9,347.69x = 77,392,022.84
  5. Step 5: Solve for x
    x = 77,392,022.84/9,347.69
  6. Step 6: Final answer
    x = 8,279.27

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Half scale
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Double scale
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Similar ratio
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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.