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Finding the Fourth Proportional to 12,174, 16,800.14 and 6,585

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Solution

The fourth proportional to 12,174, 16,800.14 and 6,585 is: 9,087.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,174 : 16,800.14 = 6,585 : x
  2. Step 2: Convert to fraction form
    12,174/16,800.14 = 6,585/x
  3. Step 3: Cross multiply
    12,174x = 16,800.14 × 6,585
  4. Step 4: Simplify right side
    12,174x = 110,628,888.98
  5. Step 5: Solve for x
    x = 110,628,888.98/12,174
  6. Step 6: Final answer
    x = 9,087.31

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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.