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Finding the Fourth Proportional to 12,227.87, 16,874.54 and 7,192.31

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Solution

The fourth proportional to 12,227.87, 16,874.54 and 7,192.31 is: 9,925.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,227.87 : 16,874.54 = 7,192.31 : x
  2. Step 2: Convert to fraction form
    12,227.87/16,874.54 = 7,192.31/x
  3. Step 3: Cross multiply
    12,227.87x = 16,874.54 × 7,192.31
  4. Step 4: Simplify right side
    12,227.87x = 121,366,802.45
  5. Step 5: Solve for x
    x = 121,366,802.45/12,227.87
  6. Step 6: Final answer
    x = 9,925.42

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1.5x scale

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.