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Finding the Fourth Proportional to 10,452.96, 14,408.46 and 7,926.96

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Solution

The fourth proportional to 10,452.96, 14,408.46 and 7,926.96 is: 10,926.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,452.96 : 14,408.46 = 7,926.96 : x
  2. Step 2: Convert to fraction form
    10,452.96/14,408.46 = 7,926.96/x
  3. Step 3: Cross multiply
    10,452.96x = 14,408.46 × 7,926.96
  4. Step 4: Simplify right side
    10,452.96x = 114,215,286.08
  5. Step 5: Solve for x
    x = 114,215,286.08/10,452.96
  6. Step 6: Final answer
    x = 10,926.60

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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.