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Finding the Fourth Proportional to 12,326, 17,010.30 and 6,737.36

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Solution

The fourth proportional to 12,326, 17,010.30 and 6,737.36 is: 9,297.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,326 : 17,010.30 = 6,737.36 : x
  2. Step 2: Convert to fraction form
    12,326/17,010.30 = 6,737.36/x
  3. Step 3: Cross multiply
    12,326x = 17,010.30 × 6,737.36
  4. Step 4: Simplify right side
    12,326x = 114,604,514.81
  5. Step 5: Solve for x
    x = 114,604,514.81/12,326
  6. Step 6: Final answer
    x = 9,297.79

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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.