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Finding the Fourth Proportional to 11,646.67, 16,072.73 and 6,341.57

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Solution

The fourth proportional to 11,646.67, 16,072.73 and 6,341.57 is: 8,751.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,646.67 : 16,072.73 = 6,341.57 : x
  2. Step 2: Convert to fraction form
    11,646.67/16,072.73 = 6,341.57/x
  3. Step 3: Cross multiply
    11,646.67x = 16,072.73 × 6,341.57
  4. Step 4: Simplify right side
    11,646.67x = 101,926,342.39
  5. Step 5: Solve for x
    x = 101,926,342.39/11,646.67
  6. Step 6: Final answer
    x = 8,751.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.