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Finding the Fourth Proportional to 11,676.76, 16,073.03 and 10,182.00

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Solution

The fourth proportional to 11,676.76, 16,073.03 and 10,182.00 is: 14,015.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,676.76 : 16,073.03 = 10,182.00 : x
  2. Step 2: Convert to fraction form
    11,676.76/16,073.03 = 10,182.00/x
  3. Step 3: Cross multiply
    11,676.76x = 16,073.03 × 10,182.00
  4. Step 4: Simplify right side
    11,676.76x = 163,655,677.19
  5. Step 5: Solve for x
    x = 163,655,677.19/11,676.76
  6. Step 6: Final answer
    x = 14,015.51

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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.