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Finding the Fourth Proportional to 6,522.84, 9,784.02 and 6,107.70

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Solution

The fourth proportional to 6,522.84, 9,784.02 and 6,107.70 is: 9,161.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,522.84 : 9,784.02 = 6,107.70 : x
  2. Step 2: Convert to fraction form
    6,522.84/9,784.02 = 6,107.70/x
  3. Step 3: Cross multiply
    6,522.84x = 9,784.02 × 6,107.70
  4. Step 4: Simplify right side
    6,522.84x = 59,757,858.95
  5. Step 5: Solve for x
    x = 59,757,858.95/6,522.84
  6. Step 6: Final answer
    x = 9,161.33

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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.