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Finding the Fourth Proportional to 12,232.82, 16,881.19 and 6,643.82

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Solution

The fourth proportional to 12,232.82, 16,881.19 and 6,643.82 is: 9,168.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,232.82 : 16,881.19 = 6,643.82 : x
  2. Step 2: Convert to fraction form
    12,232.82/16,881.19 = 6,643.82/x
  3. Step 3: Cross multiply
    12,232.82x = 16,881.19 × 6,643.82
  4. Step 4: Simplify right side
    12,232.82x = 112,155,503.34
  5. Step 5: Solve for x
    x = 112,155,503.34/12,232.82
  6. Step 6: Final answer
    x = 9,168.41

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Half scale
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Double 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.