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Finding the Fourth Proportional to 14,902.25, 22,359.49 and 7,106.09

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Solution

The fourth proportional to 14,902.25, 22,359.49 and 7,106.09 is: 10,662.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,902.25 : 22,359.49 = 7,106.09 : x
  2. Step 2: Convert to fraction form
    14,902.25/22,359.49 = 7,106.09/x
  3. Step 3: Cross multiply
    14,902.25x = 22,359.49 × 7,106.09
  4. Step 4: Simplify right side
    14,902.25x = 158,888,418.73
  5. Step 5: Solve for x
    x = 158,888,418.73/14,902.25
  6. Step 6: Final answer
    x = 10,662.05

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.