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Finding the Fourth Proportional to 12,166, 16,789.08 and 6,577

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Solution

The fourth proportional to 12,166, 16,789.08 and 6,577 is: 9,076.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,166 : 16,789.08 = 6,577 : x
  2. Step 2: Convert to fraction form
    12,166/16,789.08 = 6,577/x
  3. Step 3: Cross multiply
    12,166x = 16,789.08 × 6,577
  4. Step 4: Simplify right side
    12,166x = 110,421,779.16
  5. Step 5: Solve for x
    x = 110,421,779.16/12,166
  6. Step 6: Final answer
    x = 9,076.26

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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.