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Finding the Fourth Proportional to 10,464.56, 15,696.83 and 4,620

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Solution

The fourth proportional to 10,464.56, 15,696.83 and 4,620 is: 6,930

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,464.56 : 15,696.83 = 4,620 : x
  2. Step 2: Convert to fraction form
    10,464.56/15,696.83 = 4,620/x
  3. Step 3: Cross multiply
    10,464.56x = 15,696.83 × 4,620
  4. Step 4: Simplify right side
    10,464.56x = 72,519,366.15
  5. Step 5: Solve for x
    x = 72,519,366.15/10,464.56
  6. Step 6: Final answer
    x = 6,930

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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.