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Finding the Fourth Proportional to 12,184, 16,813.92 and 6,595

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Solution

The fourth proportional to 12,184, 16,813.92 and 6,595 is: 9,101.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,184 : 16,813.92 = 6,595 : x
  2. Step 2: Convert to fraction form
    12,184/16,813.92 = 6,595/x
  3. Step 3: Cross multiply
    12,184x = 16,813.92 × 6,595
  4. Step 4: Simplify right side
    12,184x = 110,887,802.40
  5. Step 5: Solve for x
    x = 110,887,802.40/12,184
  6. Step 6: Final answer
    x = 9,101.10

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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.