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Finding the Fourth Proportional to 7,677.80, 11,516.70 and 7,321.40

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Solution

The fourth proportional to 7,677.80, 11,516.70 and 7,321.40 is: 10,982.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,677.80 : 11,516.70 = 7,321.40 : x
  2. Step 2: Convert to fraction form
    7,677.80/11,516.70 = 7,321.40/x
  3. Step 3: Cross multiply
    7,677.80x = 11,516.70 × 7,321.40
  4. Step 4: Simplify right side
    7,677.80x = 84,318,367.38
  5. Step 5: Solve for x
    x = 84,318,367.38/7,677.80
  6. Step 6: Final answer
    x = 10,982.10

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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.