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Finding the Fourth Proportional to 10,992.56, 15,169.68 and 6,024.56

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Solution

The fourth proportional to 10,992.56, 15,169.68 and 6,024.56 is: 8,313.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,992.56 : 15,169.68 = 6,024.56 : x
  2. Step 2: Convert to fraction form
    10,992.56/15,169.68 = 6,024.56/x
  3. Step 3: Cross multiply
    10,992.56x = 15,169.68 × 6,024.56
  4. Step 4: Simplify right side
    10,992.56x = 91,390,647.34
  5. Step 5: Solve for x
    x = 91,390,647.34/10,992.56
  6. Step 6: Final answer
    x = 8,313.86

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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.