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Finding the Fourth Proportional to 9,167.40, 13,735.98 and 8,401.41

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Solution

The fourth proportional to 9,167.40, 13,735.98 and 8,401.41 is: 12,588.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,167.40 : 13,735.98 = 8,401.41 : x
  2. Step 2: Convert to fraction form
    9,167.40/13,735.98 = 8,401.41/x
  3. Step 3: Cross multiply
    9,167.40x = 13,735.98 × 8,401.41
  4. Step 4: Simplify right side
    9,167.40x = 115,401,599.73
  5. Step 5: Solve for x
    x = 115,401,599.73/9,167.40
  6. Step 6: Final answer
    x = 12,588.26

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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.