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Finding the Fourth Proportional to 11,182.56, 16,760.84 and 9,886.56

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Solution

The fourth proportional to 11,182.56, 16,760.84 and 9,886.56 is: 14,818.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,182.56 : 16,760.84 = 9,886.56 : x
  2. Step 2: Convert to fraction form
    11,182.56/16,760.84 = 9,886.56/x
  3. Step 3: Cross multiply
    11,182.56x = 16,760.84 × 9,886.56
  4. Step 4: Simplify right side
    11,182.56x = 165,707,050.31
  5. Step 5: Solve for x
    x = 165,707,050.31/11,182.56
  6. Step 6: Final answer
    x = 14,818.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.