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Finding the Fourth Proportional to 8,146.56, 11,242.26 and 4,420.56

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Solution

The fourth proportional to 8,146.56, 11,242.26 and 4,420.56 is: 6,100.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,146.56 : 11,242.26 = 4,420.56 : x
  2. Step 2: Convert to fraction form
    8,146.56/11,242.26 = 4,420.56/x
  3. Step 3: Cross multiply
    8,146.56x = 11,242.26 × 4,420.56
  4. Step 4: Simplify right side
    8,146.56x = 49,697,084.87
  5. Step 5: Solve for x
    x = 49,697,084.87/8,146.56
  6. Step 6: Final answer
    x = 6,100.38

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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.