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Finding the Fourth Proportional to 8,241.84, 11,374.47 and 4,706.19

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Solution

The fourth proportional to 8,241.84, 11,374.47 and 4,706.19 is: 6,494.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,241.84 : 11,374.47 = 4,706.19 : x
  2. Step 2: Convert to fraction form
    8,241.84/11,374.47 = 4,706.19/x
  3. Step 3: Cross multiply
    8,241.84x = 11,374.47 × 4,706.19
  4. Step 4: Simplify right side
    8,241.84x = 53,530,416.97
  5. Step 5: Solve for x
    x = 53,530,416.97/8,241.84
  6. Step 6: Final answer
    x = 6,494.96

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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.