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Finding the Fourth Proportional to 11,640.34, 16,063.14 and 6,335.14

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Solution

The fourth proportional to 11,640.34, 16,063.14 and 6,335.14 is: 8,742.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,640.34 : 16,063.14 = 6,335.14 : x
  2. Step 2: Convert to fraction form
    11,640.34/16,063.14 = 6,335.14/x
  3. Step 3: Cross multiply
    11,640.34x = 16,063.14 × 6,335.14
  4. Step 4: Simplify right side
    11,640.34x = 101,762,240.74
  5. Step 5: Solve for x
    x = 101,762,240.74/11,640.34
  6. Step 6: Final answer
    x = 8,742.21

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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.