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Finding the Fourth Proportional to 12,582.48, 17,364.02 and 6,917.48

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Solution

The fourth proportional to 12,582.48, 17,364.02 and 6,917.48 is: 9,546.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,582.48 : 17,364.02 = 6,917.48 : x
  2. Step 2: Convert to fraction form
    12,582.48/17,364.02 = 6,917.48/x
  3. Step 3: Cross multiply
    12,582.48x = 17,364.02 × 6,917.48
  4. Step 4: Simplify right side
    12,582.48x = 120,115,174.25
  5. Step 5: Solve for x
    x = 120,115,174.25/12,582.48
  6. Step 6: Final answer
    x = 9,546.22

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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.