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Finding the Fourth Proportional to 8,271, 12,406.56 and 2,427.70

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Solution

The fourth proportional to 8,271, 12,406.56 and 2,427.70 is: 3,641.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,271 : 12,406.56 = 2,427.70 : x
  2. Step 2: Convert to fraction form
    8,271/12,406.56 = 2,427.70/x
  3. Step 3: Cross multiply
    8,271x = 12,406.56 × 2,427.70
  4. Step 4: Simplify right side
    8,271x = 30,119,405.71
  5. Step 5: Solve for x
    x = 30,119,405.71/8,271
  6. Step 6: Final answer
    x = 3,641.57

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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.