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Finding the Fourth Proportional to 11,476.74, 15,841.86 and 7,234.95

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Solution

The fourth proportional to 11,476.74, 15,841.86 and 7,234.95 is: 9,986.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,476.74 : 15,841.86 = 7,234.95 : x
  2. Step 2: Convert to fraction form
    11,476.74/15,841.86 = 7,234.95/x
  3. Step 3: Cross multiply
    11,476.74x = 15,841.86 × 7,234.95
  4. Step 4: Simplify right side
    11,476.74x = 114,615,065.01
  5. Step 5: Solve for x
    x = 114,615,065.01/11,476.74
  6. Step 6: Final answer
    x = 9,986.73

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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.