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Finding the Fourth Proportional to 8,153.70, 11,257.14 and 6,261.63

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Solution

The fourth proportional to 8,153.70, 11,257.14 and 6,261.63 is: 8,644.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,153.70 : 11,257.14 = 6,261.63 : x
  2. Step 2: Convert to fraction form
    8,153.70/11,257.14 = 6,261.63/x
  3. Step 3: Cross multiply
    8,153.70x = 11,257.14 × 6,261.63
  4. Step 4: Simplify right side
    8,153.70x = 70,488,045.54
  5. Step 5: Solve for x
    x = 70,488,045.54/8,153.70
  6. Step 6: Final answer
    x = 8,644.92

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Half scale
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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.