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Finding the Fourth Proportional to 9,408.04, 14,112.13 and 7,651

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Solution

The fourth proportional to 9,408.04, 14,112.13 and 7,651 is: 11,476.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,408.04 : 14,112.13 = 7,651 : x
  2. Step 2: Convert to fraction form
    9,408.04/14,112.13 = 7,651/x
  3. Step 3: Cross multiply
    9,408.04x = 14,112.13 × 7,651
  4. Step 4: Simplify right side
    9,408.04x = 107,971,906.63
  5. Step 5: Solve for x
    x = 107,971,906.63/9,408.04
  6. Step 6: Final answer
    x = 11,476.56

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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.