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Finding the Fourth Proportional to 12,471.98, 18,735.30 and 9,206.06

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Solution

The fourth proportional to 12,471.98, 18,735.30 and 9,206.06 is: 13,829.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,471.98 : 18,735.30 = 9,206.06 : x
  2. Step 2: Convert to fraction form
    12,471.98/18,735.30 = 9,206.06/x
  3. Step 3: Cross multiply
    12,471.98x = 18,735.30 × 9,206.06
  4. Step 4: Simplify right side
    12,471.98x = 172,478,202.24
  5. Step 5: Solve for x
    x = 172,478,202.24/12,471.98
  6. Step 6: Final answer
    x = 13,829.26

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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.