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Finding the Fourth Proportional to 7,084.53, 9,786.60 and 5,677.56

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Solution

The fourth proportional to 7,084.53, 9,786.60 and 5,677.56 is: 7,843.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,084.53 : 9,786.60 = 5,677.56 : x
  2. Step 2: Convert to fraction form
    7,084.53/9,786.60 = 5,677.56/x
  3. Step 3: Cross multiply
    7,084.53x = 9,786.60 × 5,677.56
  4. Step 4: Simplify right side
    7,084.53x = 55,564,008.70
  5. Step 5: Solve for x
    x = 55,564,008.70/7,084.53
  6. Step 6: Final answer
    x = 7,843.01

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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.