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Finding the Fourth Proportional to 14,297.82, 19,730.54 and 7,837.44

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Solution

The fourth proportional to 14,297.82, 19,730.54 and 7,837.44 is: 10,815.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,297.82 : 19,730.54 = 7,837.44 : x
  2. Step 2: Convert to fraction form
    14,297.82/19,730.54 = 7,837.44/x
  3. Step 3: Cross multiply
    14,297.82x = 19,730.54 × 7,837.44
  4. Step 4: Simplify right side
    14,297.82x = 154,636,923.42
  5. Step 5: Solve for x
    x = 154,636,923.42/14,297.82
  6. Step 6: Final answer
    x = 10,815.42

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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.