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Finding the Fourth Proportional to 5,914.76, 8,165.08 and 4,214.44

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Solution

The fourth proportional to 5,914.76, 8,165.08 and 4,214.44 is: 5,817.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,914.76 : 8,165.08 = 4,214.44 : x
  2. Step 2: Convert to fraction form
    5,914.76/8,165.08 = 4,214.44/x
  3. Step 3: Cross multiply
    5,914.76x = 8,165.08 × 4,214.44
  4. Step 4: Simplify right side
    5,914.76x = 34,411,239.76
  5. Step 5: Solve for x
    x = 34,411,239.76/5,914.76
  6. Step 6: Final answer
    x = 5,817.86

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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.