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Finding the Fourth Proportional to 9,371.84, 14,059 and 3,447.92

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Solution

The fourth proportional to 9,371.84, 14,059 and 3,447.92 is: 5,172.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,371.84 : 14,059 = 3,447.92 : x
  2. Step 2: Convert to fraction form
    9,371.84/14,059 = 3,447.92/x
  3. Step 3: Cross multiply
    9,371.84x = 14,059 × 3,447.92
  4. Step 4: Simplify right side
    9,371.84x = 48,474,307.28
  5. Step 5: Solve for x
    x = 48,474,307.28/9,371.84
  6. Step 6: Final answer
    x = 5,172.34

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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.