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Finding the Fourth Proportional to 12,646.41, 18,932.85 and 7,365.30

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Solution

The fourth proportional to 12,646.41, 18,932.85 and 7,365.30 is: 11,026.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,646.41 : 18,932.85 = 7,365.30 : x
  2. Step 2: Convert to fraction form
    12,646.41/18,932.85 = 7,365.30/x
  3. Step 3: Cross multiply
    12,646.41x = 18,932.85 × 7,365.30
  4. Step 4: Simplify right side
    12,646.41x = 139,446,120.11
  5. Step 5: Solve for x
    x = 139,446,120.11/12,646.41
  6. Step 6: Final answer
    x = 11,026.54

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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.