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Finding the Fourth Proportional to 12,415.96, 17,134.02 and 6,826.96

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Solution

The fourth proportional to 12,415.96, 17,134.02 and 6,826.96 is: 9,421.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,415.96 : 17,134.02 = 6,826.96 : x
  2. Step 2: Convert to fraction form
    12,415.96/17,134.02 = 6,826.96/x
  3. Step 3: Cross multiply
    12,415.96x = 17,134.02 × 6,826.96
  4. Step 4: Simplify right side
    12,415.96x = 116,973,183.51
  5. Step 5: Solve for x
    x = 116,973,183.51/12,415.96
  6. Step 6: Final answer
    x = 9,421.20

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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.