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Finding the Fourth Proportional to 9,401.40, 14,102.10 and 2,381.40

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Solution

The fourth proportional to 9,401.40, 14,102.10 and 2,381.40 is: 3,572.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,401.40 : 14,102.10 = 2,381.40 : x
  2. Step 2: Convert to fraction form
    9,401.40/14,102.10 = 2,381.40/x
  3. Step 3: Cross multiply
    9,401.40x = 14,102.10 × 2,381.40
  4. Step 4: Simplify right side
    9,401.40x = 33,582,740.94
  5. Step 5: Solve for x
    x = 33,582,740.94/9,401.40
  6. Step 6: Final answer
    x = 3,572.10

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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.