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Finding the Fourth Proportional to 6,592.14, 9,895.05 and 3,824.24

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Solution

The fourth proportional to 6,592.14, 9,895.05 and 3,824.24 is: 5,740.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,592.14 : 9,895.05 = 3,824.24 : x
  2. Step 2: Convert to fraction form
    6,592.14/9,895.05 = 3,824.24/x
  3. Step 3: Cross multiply
    6,592.14x = 9,895.05 × 3,824.24
  4. Step 4: Simplify right side
    6,592.14x = 37,840,996.54
  5. Step 5: Solve for x
    x = 37,840,996.54/6,592.14
  6. Step 6: Final answer
    x = 5,740.32

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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.