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Finding the Fourth Proportional to 12,586.69, 18,869.09 and 7,381.63

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Solution

The fourth proportional to 12,586.69, 18,869.09 and 7,381.63 is: 11,066.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,586.69 : 18,869.09 = 7,381.63 : x
  2. Step 2: Convert to fraction form
    12,586.69/18,869.09 = 7,381.63/x
  3. Step 3: Cross multiply
    12,586.69x = 18,869.09 × 7,381.63
  4. Step 4: Simplify right side
    12,586.69x = 139,284,546.47
  5. Step 5: Solve for x
    x = 139,284,546.47/12,586.69
  6. Step 6: Final answer
    x = 11,066.02

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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.