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Finding the Fourth Proportional to 8,494.40, 11,724.72 and 5,137.22

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Solution

The fourth proportional to 8,494.40, 11,724.72 and 5,137.22 is: 7,090.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,494.40 : 11,724.72 = 5,137.22 : x
  2. Step 2: Convert to fraction form
    8,494.40/11,724.72 = 5,137.22/x
  3. Step 3: Cross multiply
    8,494.40x = 11,724.72 × 5,137.22
  4. Step 4: Simplify right side
    8,494.40x = 60,232,466.08
  5. Step 5: Solve for x
    x = 60,232,466.08/8,494.40
  6. Step 6: Final answer
    x = 7,090.84

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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.