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Finding the Fourth Proportional to 9,674.28, 13,344.74 and 7,325.48

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Solution

The fourth proportional to 9,674.28, 13,344.74 and 7,325.48 is: 10,104.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,674.28 : 13,344.74 = 7,325.48 : x
  2. Step 2: Convert to fraction form
    9,674.28/13,344.74 = 7,325.48/x
  3. Step 3: Cross multiply
    9,674.28x = 13,344.74 × 7,325.48
  4. Step 4: Simplify right side
    9,674.28x = 97,756,625.98
  5. Step 5: Solve for x
    x = 97,756,625.98/9,674.28
  6. Step 6: Final answer
    x = 10,104.80

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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.