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Finding the Fourth Proportional to 11,425.76, 15,776.88 and 8,444.96

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Solution

The fourth proportional to 11,425.76, 15,776.88 and 8,444.96 is: 11,660.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,425.76 : 15,776.88 = 8,444.96 : x
  2. Step 2: Convert to fraction form
    11,425.76/15,776.88 = 8,444.96/x
  3. Step 3: Cross multiply
    11,425.76x = 15,776.88 × 8,444.96
  4. Step 4: Simplify right side
    11,425.76x = 133,235,120.52
  5. Step 5: Solve for x
    x = 133,235,120.52/11,425.76
  6. Step 6: Final answer
    x = 11,660.94

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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.