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Finding the Fourth Proportional to 6,677.67, 9,213.78 and 5,084.00

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Solution

The fourth proportional to 6,677.67, 9,213.78 and 5,084.00 is: 7,014.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,677.67 : 9,213.78 = 5,084.00 : x
  2. Step 2: Convert to fraction form
    6,677.67/9,213.78 = 5,084.00/x
  3. Step 3: Cross multiply
    6,677.67x = 9,213.78 × 5,084.00
  4. Step 4: Simplify right side
    6,677.67x = 46,842,811.45
  5. Step 5: Solve for x
    x = 46,842,811.45/6,677.67
  6. Step 6: Final answer
    x = 7,014.84

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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.