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Finding the Fourth Proportional to 12,026.49, 16,597.49 and 6,992.34

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Solution

The fourth proportional to 12,026.49, 16,597.49 and 6,992.34 is: 9,649.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,026.49 : 16,597.49 = 6,992.34 : x
  2. Step 2: Convert to fraction form
    12,026.49/16,597.49 = 6,992.34/x
  3. Step 3: Cross multiply
    12,026.49x = 16,597.49 × 6,992.34
  4. Step 4: Simplify right side
    12,026.49x = 116,055,258.26
  5. Step 5: Solve for x
    x = 116,055,258.26/12,026.49
  6. Step 6: Final answer
    x = 9,649.97

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Half scale
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Double scale
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Similar ratio
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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.