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Finding the Fourth Proportional to 10,464.24, 15,696.24 and 2,673

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Solution

The fourth proportional to 10,464.24, 15,696.24 and 2,673 is: 4,009.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,464.24 : 15,696.24 = 2,673 : x
  2. Step 2: Convert to fraction form
    10,464.24/15,696.24 = 2,673/x
  3. Step 3: Cross multiply
    10,464.24x = 15,696.24 × 2,673
  4. Step 4: Simplify right side
    10,464.24x = 41,956,049.52
  5. Step 5: Solve for x
    x = 41,956,049.52/10,464.24
  6. Step 6: Final answer
    x = 4,009.47

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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.