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Finding the Fourth Proportional to 10,826.45, 14,935 and 6,576.38

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Solution

The fourth proportional to 10,826.45, 14,935 and 6,576.38 is: 9,072.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,826.45 : 14,935 = 6,576.38 : x
  2. Step 2: Convert to fraction form
    10,826.45/14,935 = 6,576.38/x
  3. Step 3: Cross multiply
    10,826.45x = 14,935 × 6,576.38
  4. Step 4: Simplify right side
    10,826.45x = 98,218,235.30
  5. Step 5: Solve for x
    x = 98,218,235.30/10,826.45
  6. Step 6: Final answer
    x = 9,072.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.