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Finding the Fourth Proportional to 10,048, 15,089.01 and 6,543.94

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Solution

The fourth proportional to 10,048, 15,089.01 and 6,543.94 is: 9,826.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,048 : 15,089.01 = 6,543.94 : x
  2. Step 2: Convert to fraction form
    10,048/15,089.01 = 6,543.94/x
  3. Step 3: Cross multiply
    10,048x = 15,089.01 × 6,543.94
  4. Step 4: Simplify right side
    10,048x = 98,741,576.10
  5. Step 5: Solve for x
    x = 98,741,576.10/10,048
  6. Step 6: Final answer
    x = 9,826.99

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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.