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Finding the Fourth Proportional to 12,415.93, 17,134.00 and 6,826.93

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Solution

The fourth proportional to 12,415.93, 17,134.00 and 6,826.93 is: 9,421.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,415.93 : 17,134.00 = 6,826.93 : x
  2. Step 2: Convert to fraction form
    12,415.93/17,134.00 = 6,826.93/x
  3. Step 3: Cross multiply
    12,415.93x = 17,134.00 × 6,826.93
  4. Step 4: Simplify right side
    12,415.93x = 116,972,558.72
  5. Step 5: Solve for x
    x = 116,972,558.72/12,415.93
  6. Step 6: Final answer
    x = 9,421.17

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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.