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Finding the Fourth Proportional to 7,667.56, 11,486.22 and 7,127.56

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Solution

The fourth proportional to 7,667.56, 11,486.22 and 7,127.56 is: 10,677.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,667.56 : 11,486.22 = 7,127.56 : x
  2. Step 2: Convert to fraction form
    7,667.56/11,486.22 = 7,127.56/x
  3. Step 3: Cross multiply
    7,667.56x = 11,486.22 × 7,127.56
  4. Step 4: Simplify right side
    7,667.56x = 81,868,722.22
  5. Step 5: Solve for x
    x = 81,868,722.22/7,667.56
  6. Step 6: Final answer
    x = 10,677.28

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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.