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Finding the Fourth Proportional to 9,362.16, 14,021.16 and 7,408.56

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Solution

The fourth proportional to 9,362.16, 14,021.16 and 7,408.56 is: 11,095.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,362.16 : 14,021.16 = 7,408.56 : x
  2. Step 2: Convert to fraction form
    9,362.16/14,021.16 = 7,408.56/x
  3. Step 3: Cross multiply
    9,362.16x = 14,021.16 × 7,408.56
  4. Step 4: Simplify right side
    9,362.16x = 103,876,605.13
  5. Step 5: Solve for x
    x = 103,876,605.13/9,362.16
  6. Step 6: Final answer
    x = 11,095.37

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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.