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Finding the Fourth Proportional to 5,706.34, 8,559.50 and 2,149.13

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Solution

The fourth proportional to 5,706.34, 8,559.50 and 2,149.13 is: 3,223.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,706.34 : 8,559.50 = 2,149.13 : x
  2. Step 2: Convert to fraction form
    5,706.34/8,559.50 = 2,149.13/x
  3. Step 3: Cross multiply
    5,706.34x = 8,559.50 × 2,149.13
  4. Step 4: Simplify right side
    5,706.34x = 18,395,435.44
  5. Step 5: Solve for x
    x = 18,395,435.44/5,706.34
  6. Step 6: Final answer
    x = 3,223.69

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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.