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Finding the Fourth Proportional to 27,597.96, 38,082.06 and 15,658.20

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Solution

The fourth proportional to 27,597.96, 38,082.06 and 15,658.20 is: 21,606.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,597.96 : 38,082.06 = 15,658.20 : x
  2. Step 2: Convert to fraction form
    27,597.96/38,082.06 = 15,658.20/x
  3. Step 3: Cross multiply
    27,597.96x = 38,082.06 × 15,658.20
  4. Step 4: Simplify right side
    27,597.96x = 596,296,511.89
  5. Step 5: Solve for x
    x = 596,296,511.89/27,597.96
  6. Step 6: Final answer
    x = 21,606.54

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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.