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Finding the Fourth Proportional to 10,474.65, 14,453.10 and 8,481.74

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Solution

The fourth proportional to 10,474.65, 14,453.10 and 8,481.74 is: 11,703.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,474.65 : 14,453.10 = 8,481.74 : x
  2. Step 2: Convert to fraction form
    10,474.65/14,453.10 = 8,481.74/x
  3. Step 3: Cross multiply
    10,474.65x = 14,453.10 × 8,481.74
  4. Step 4: Simplify right side
    10,474.65x = 122,587,364.13
  5. Step 5: Solve for x
    x = 122,587,364.13/10,474.65
  6. Step 6: Final answer
    x = 11,703.24

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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.