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Finding the Fourth Proportional to 5,748.13, 8,622.19 and 1,644.13

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Solution

The fourth proportional to 5,748.13, 8,622.19 and 1,644.13 is: 2,466.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,748.13 : 8,622.19 = 1,644.13 : x
  2. Step 2: Convert to fraction form
    5,748.13/8,622.19 = 1,644.13/x
  3. Step 3: Cross multiply
    5,748.13x = 8,622.19 × 1,644.13
  4. Step 4: Simplify right side
    5,748.13x = 14,175,954.02
  5. Step 5: Solve for x
    x = 14,175,954.02/5,748.13
  6. Step 6: Final answer
    x = 2,466.19

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