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Finding the Fourth Proportional to 9,174.64, 13,761.92 and 6,245.68

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Solution

The fourth proportional to 9,174.64, 13,761.92 and 6,245.68 is: 9,368.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,174.64 : 13,761.92 = 6,245.68 : x
  2. Step 2: Convert to fraction form
    9,174.64/13,761.92 = 6,245.68/x
  3. Step 3: Cross multiply
    9,174.64x = 13,761.92 × 6,245.68
  4. Step 4: Simplify right side
    9,174.64x = 85,952,548.51
  5. Step 5: Solve for x
    x = 85,952,548.51/9,174.64
  6. Step 6: Final answer
    x = 9,368.49

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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.