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Finding the Fourth Proportional to 8,609.64, 11,884.29 and 5,072.63

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Solution

The fourth proportional to 8,609.64, 11,884.29 and 5,072.63 is: 7,001.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,609.64 : 11,884.29 = 5,072.63 : x
  2. Step 2: Convert to fraction form
    8,609.64/11,884.29 = 5,072.63/x
  3. Step 3: Cross multiply
    8,609.64x = 11,884.29 × 5,072.63
  4. Step 4: Simplify right side
    8,609.64x = 60,284,570.34
  5. Step 5: Solve for x
    x = 60,284,570.34/8,609.64
  6. Step 6: Final answer
    x = 7,001.98

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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.