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Finding the Fourth Proportional to 11,604.60, 16,016 and 7,637.22

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Solution

The fourth proportional to 11,604.60, 16,016 and 7,637.22 is: 10,540.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,604.60 : 16,016 = 7,637.22 : x
  2. Step 2: Convert to fraction form
    11,604.60/16,016 = 7,637.22/x
  3. Step 3: Cross multiply
    11,604.60x = 16,016 × 7,637.22
  4. Step 4: Simplify right side
    11,604.60x = 122,317,715.52
  5. Step 5: Solve for x
    x = 122,317,715.52/11,604.60
  6. Step 6: Final answer
    x = 10,540.45

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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.