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Finding the Fourth Proportional to 9,752.56, 14,629.02 and 2,827

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Solution

The fourth proportional to 9,752.56, 14,629.02 and 2,827 is: 4,240.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,752.56 : 14,629.02 = 2,827 : x
  2. Step 2: Convert to fraction form
    9,752.56/14,629.02 = 2,827/x
  3. Step 3: Cross multiply
    9,752.56x = 14,629.02 × 2,827
  4. Step 4: Simplify right side
    9,752.56x = 41,356,239.54
  5. Step 5: Solve for x
    x = 41,356,239.54/9,752.56
  6. Step 6: Final answer
    x = 4,240.55

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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.