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Finding the Fourth Proportional to 12,406.40, 18,609.30 and 7,472.30

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Solution

The fourth proportional to 12,406.40, 18,609.30 and 7,472.30 is: 11,208.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,406.40 : 18,609.30 = 7,472.30 : x
  2. Step 2: Convert to fraction form
    12,406.40/18,609.30 = 7,472.30/x
  3. Step 3: Cross multiply
    12,406.40x = 18,609.30 × 7,472.30
  4. Step 4: Simplify right side
    12,406.40x = 139,054,272.39
  5. Step 5: Solve for x
    x = 139,054,272.39/12,406.40
  6. Step 6: Final answer
    x = 11,208.27

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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.