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Finding the Fourth Proportional to 12,301.76, 16,976.48 and 6,712.76

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Solution

The fourth proportional to 12,301.76, 16,976.48 and 6,712.76 is: 9,263.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,301.76 : 16,976.48 = 6,712.76 : x
  2. Step 2: Convert to fraction form
    12,301.76/16,976.48 = 6,712.76/x
  3. Step 3: Cross multiply
    12,301.76x = 16,976.48 × 6,712.76
  4. Step 4: Simplify right side
    12,301.76x = 113,959,035.88
  5. Step 5: Solve for x
    x = 113,959,035.88/12,301.76
  6. Step 6: Final answer
    x = 9,263.64

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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.