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Finding the Fourth Proportional to 7,084.69, 9,776.87 and 3,940.88

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Solution

The fourth proportional to 7,084.69, 9,776.87 and 3,940.88 is: 5,438.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,084.69 : 9,776.87 = 3,940.88 : x
  2. Step 2: Convert to fraction form
    7,084.69/9,776.87 = 3,940.88/x
  3. Step 3: Cross multiply
    7,084.69x = 9,776.87 × 3,940.88
  4. Step 4: Simplify right side
    7,084.69x = 38,529,417.64
  5. Step 5: Solve for x
    x = 38,529,417.64/7,084.69
  6. Step 6: Final answer
    x = 5,438.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.