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Finding the Fourth Proportional to 12,461.70, 18,704.70 and 9,718.20

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Solution

The fourth proportional to 12,461.70, 18,704.70 and 9,718.20 is: 14,586.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,461.70 : 18,704.70 = 9,718.20 : x
  2. Step 2: Convert to fraction form
    12,461.70/18,704.70 = 9,718.20/x
  3. Step 3: Cross multiply
    12,461.70x = 18,704.70 × 9,718.20
  4. Step 4: Simplify right side
    12,461.70x = 181,776,015.54
  5. Step 5: Solve for x
    x = 181,776,015.54/12,461.70
  6. Step 6: Final answer
    x = 14,586.78

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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.