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Finding the Fourth Proportional to 11,473.10, 15,841.83 and 7,441.84

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Solution

The fourth proportional to 11,473.10, 15,841.83 and 7,441.84 is: 10,275.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,473.10 : 15,841.83 = 7,441.84 : x
  2. Step 2: Convert to fraction form
    11,473.10/15,841.83 = 7,441.84/x
  3. Step 3: Cross multiply
    11,473.10x = 15,841.83 × 7,441.84
  4. Step 4: Simplify right side
    11,473.10x = 117,892,324.56
  5. Step 5: Solve for x
    x = 117,892,324.56/11,473.10
  6. Step 6: Final answer
    x = 10,275.55

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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.