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Finding the Fourth Proportional to 9,452.70, 13,045.03 and 5,204.21

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Solution

The fourth proportional to 9,452.70, 13,045.03 and 5,204.21 is: 7,181.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,452.70 : 13,045.03 = 5,204.21 : x
  2. Step 2: Convert to fraction form
    9,452.70/13,045.03 = 5,204.21/x
  3. Step 3: Cross multiply
    9,452.70x = 13,045.03 × 5,204.21
  4. Step 4: Simplify right side
    9,452.70x = 67,888,997.34
  5. Step 5: Solve for x
    x = 67,888,997.34/9,452.70
  6. Step 6: Final answer
    x = 7,181.97

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1.5x scale

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.