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Finding the Fourth Proportional to 7,005, 10,507.82 and 2,325.44

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Solution

The fourth proportional to 7,005, 10,507.82 and 2,325.44 is: 3,488.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,005 : 10,507.82 = 2,325.44 : x
  2. Step 2: Convert to fraction form
    7,005/10,507.82 = 2,325.44/x
  3. Step 3: Cross multiply
    7,005x = 10,507.82 × 2,325.44
  4. Step 4: Simplify right side
    7,005x = 24,435,304.94
  5. Step 5: Solve for x
    x = 24,435,304.94/7,005
  6. Step 6: Final answer
    x = 3,488.27

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1.5x scale

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.