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Finding the Fourth Proportional to 12,415.08, 17,133.86 and 6,827.24

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Solution

The fourth proportional to 12,415.08, 17,133.86 and 6,827.24 is: 9,422.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,415.08 : 17,133.86 = 6,827.24 : x
  2. Step 2: Convert to fraction form
    12,415.08/17,133.86 = 6,827.24/x
  3. Step 3: Cross multiply
    12,415.08x = 17,133.86 × 6,827.24
  4. Step 4: Simplify right side
    12,415.08x = 116,976,974.35
  5. Step 5: Solve for x
    x = 116,976,974.35/12,415.08
  6. Step 6: Final answer
    x = 9,422.17

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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.