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Finding the Fourth Proportional to 9,414.14, 13,005.03 and 7,523.24

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Solution

The fourth proportional to 9,414.14, 13,005.03 and 7,523.24 is: 10,392.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,414.14 : 13,005.03 = 7,523.24 : x
  2. Step 2: Convert to fraction form
    9,414.14/13,005.03 = 7,523.24/x
  3. Step 3: Cross multiply
    9,414.14x = 13,005.03 × 7,523.24
  4. Step 4: Simplify right side
    9,414.14x = 97,839,924.28
  5. Step 5: Solve for x
    x = 97,839,924.28/9,414.14
  6. Step 6: Final answer
    x = 10,392.87

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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.