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Finding the Fourth Proportional to 12,460, 17,194.83 and 6,871

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Solution

The fourth proportional to 12,460, 17,194.83 and 6,871 is: 9,482.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,460 : 17,194.83 = 6,871 : x
  2. Step 2: Convert to fraction form
    12,460/17,194.83 = 6,871/x
  3. Step 3: Cross multiply
    12,460x = 17,194.83 × 6,871
  4. Step 4: Simplify right side
    12,460x = 118,145,676.93
  5. Step 5: Solve for x
    x = 118,145,676.93/12,460
  6. Step 6: Final answer
    x = 9,482.00

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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.