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Finding the Fourth Proportional to 11,800.15, 17,701.13 and 4,776.84

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Solution

The fourth proportional to 11,800.15, 17,701.13 and 4,776.84 is: 7,165.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,800.15 : 17,701.13 = 4,776.84 : x
  2. Step 2: Convert to fraction form
    11,800.15/17,701.13 = 4,776.84/x
  3. Step 3: Cross multiply
    11,800.15x = 17,701.13 × 4,776.84
  4. Step 4: Simplify right side
    11,800.15x = 84,555,477.77
  5. Step 5: Solve for x
    x = 84,555,477.77/11,800.15
  6. Step 6: Final answer
    x = 7,165.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.