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Finding the Fourth Proportional to 6,455.70, 9,683.55 and 6,091.20

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Solution

The fourth proportional to 6,455.70, 9,683.55 and 6,091.20 is: 9,136.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,455.70 : 9,683.55 = 6,091.20 : x
  2. Step 2: Convert to fraction form
    6,455.70/9,683.55 = 6,091.20/x
  3. Step 3: Cross multiply
    6,455.70x = 9,683.55 × 6,091.20
  4. Step 4: Simplify right side
    6,455.70x = 58,984,439.76
  5. Step 5: Solve for x
    x = 58,984,439.76/6,455.70
  6. Step 6: Final answer
    x = 9,136.80

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Half 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.