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Finding the Fourth Proportional to 6,617.24, 9,135.24 and 5,201.84

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Solution

The fourth proportional to 6,617.24, 9,135.24 and 5,201.84 is: 7,181.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,617.24 : 9,135.24 = 5,201.84 : x
  2. Step 2: Convert to fraction form
    6,617.24/9,135.24 = 5,201.84/x
  3. Step 3: Cross multiply
    6,617.24x = 9,135.24 × 5,201.84
  4. Step 4: Simplify right side
    6,617.24x = 47,520,056.84
  5. Step 5: Solve for x
    x = 47,520,056.84/6,617.24
  6. Step 6: Final answer
    x = 7,181.25

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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.