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Finding the Fourth Proportional to 11,779.92, 16,256.16 and 6,744.06

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Solution

The fourth proportional to 11,779.92, 16,256.16 and 6,744.06 is: 9,306.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,779.92 : 16,256.16 = 6,744.06 : x
  2. Step 2: Convert to fraction form
    11,779.92/16,256.16 = 6,744.06/x
  3. Step 3: Cross multiply
    11,779.92x = 16,256.16 × 6,744.06
  4. Step 4: Simplify right side
    11,779.92x = 109,632,518.41
  5. Step 5: Solve for x
    x = 109,632,518.41/11,779.92
  6. Step 6: Final answer
    x = 9,306.73

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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.