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Finding the Fourth Proportional to 5,677.98, 8,516.97 and 1,782.69

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Solution

The fourth proportional to 5,677.98, 8,516.97 and 1,782.69 is: 2,674.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,677.98 : 8,516.97 = 1,782.69 : x
  2. Step 2: Convert to fraction form
    5,677.98/8,516.97 = 1,782.69/x
  3. Step 3: Cross multiply
    5,677.98x = 8,516.97 × 1,782.69
  4. Step 4: Simplify right side
    5,677.98x = 15,183,117.25
  5. Step 5: Solve for x
    x = 15,183,117.25/5,677.98
  6. Step 6: Final answer
    x = 2,674.04

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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.