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Finding the Fourth Proportional to 7,098.44, 10,576.33 and 6,701

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Solution

The fourth proportional to 7,098.44, 10,576.33 and 6,701 is: 9,984.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,098.44 : 10,576.33 = 6,701 : x
  2. Step 2: Convert to fraction form
    7,098.44/10,576.33 = 6,701/x
  3. Step 3: Cross multiply
    7,098.44x = 10,576.33 × 6,701
  4. Step 4: Simplify right side
    7,098.44x = 70,871,987.33
  5. Step 5: Solve for x
    x = 70,871,987.33/7,098.44
  6. Step 6: Final answer
    x = 9,984.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.