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Finding the Fourth Proportional to 15,616.63, 23,424.96 and 6,382.63

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Solution

The fourth proportional to 15,616.63, 23,424.96 and 6,382.63 is: 9,573.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,616.63 : 23,424.96 = 6,382.63 : x
  2. Step 2: Convert to fraction form
    15,616.63/23,424.96 = 6,382.63/x
  3. Step 3: Cross multiply
    15,616.63x = 23,424.96 × 6,382.63
  4. Step 4: Simplify right side
    15,616.63x = 149,512,735.32
  5. Step 5: Solve for x
    x = 149,512,735.32/15,616.63
  6. Step 6: Final answer
    x = 9,573.95

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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.