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Finding the Fourth Proportional to 8,414.41, 11,611.74 and 4,829.22

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Solution

The fourth proportional to 8,414.41, 11,611.74 and 4,829.22 is: 6,664.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,414.41 : 11,611.74 = 4,829.22 : x
  2. Step 2: Convert to fraction form
    8,414.41/11,611.74 = 4,829.22/x
  3. Step 3: Cross multiply
    8,414.41x = 11,611.74 × 4,829.22
  4. Step 4: Simplify right side
    8,414.41x = 56,075,647.04
  5. Step 5: Solve for x
    x = 56,075,647.04/8,414.41
  6. Step 6: Final answer
    x = 6,664.24

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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.