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Finding the Fourth Proportional to 9,684.32, 14,522.87 and 5,736.44

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Solution

The fourth proportional to 9,684.32, 14,522.87 and 5,736.44 is: 8,602.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,684.32 : 14,522.87 = 5,736.44 : x
  2. Step 2: Convert to fraction form
    9,684.32/14,522.87 = 5,736.44/x
  3. Step 3: Cross multiply
    9,684.32x = 14,522.87 × 5,736.44
  4. Step 4: Simplify right side
    9,684.32x = 83,309,471.09
  5. Step 5: Solve for x
    x = 83,309,471.09/9,684.32
  6. Step 6: Final answer
    x = 8,602.52

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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.