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Finding the Fourth Proportional to 12,409.99, 17,123.85 and 7,374.09

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Solution

The fourth proportional to 12,409.99, 17,123.85 and 7,374.09 is: 10,175.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,409.99 : 17,123.85 = 7,374.09 : x
  2. Step 2: Convert to fraction form
    12,409.99/17,123.85 = 7,374.09/x
  3. Step 3: Cross multiply
    12,409.99x = 17,123.85 × 7,374.09
  4. Step 4: Simplify right side
    12,409.99x = 126,272,811.05
  5. Step 5: Solve for x
    x = 126,272,811.05/12,409.99
  6. Step 6: Final answer
    x = 10,175.09

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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.