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Finding the Fourth Proportional to 12,082.50, 16,673.94 and 7,365.96

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Solution

The fourth proportional to 12,082.50, 16,673.94 and 7,365.96 is: 10,165.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,082.50 : 16,673.94 = 7,365.96 : x
  2. Step 2: Convert to fraction form
    12,082.50/16,673.94 = 7,365.96/x
  3. Step 3: Cross multiply
    12,082.50x = 16,673.94 × 7,365.96
  4. Step 4: Simplify right side
    12,082.50x = 122,819,575.08
  5. Step 5: Solve for x
    x = 122,819,575.08/12,082.50
  6. Step 6: Final answer
    x = 10,165.08

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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.