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Finding the Fourth Proportional to 7,645.30, 11,452.38 and 7,007.42

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Solution

The fourth proportional to 7,645.30, 11,452.38 and 7,007.42 is: 10,496.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,645.30 : 11,452.38 = 7,007.42 : x
  2. Step 2: Convert to fraction form
    7,645.30/11,452.38 = 7,007.42/x
  3. Step 3: Cross multiply
    7,645.30x = 11,452.38 × 7,007.42
  4. Step 4: Simplify right side
    7,645.30x = 80,251,639.01
  5. Step 5: Solve for x
    x = 80,251,639.01/7,645.30
  6. Step 6: Final answer
    x = 10,496.86

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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.