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Finding the Fourth Proportional to 11,666.80, 17,499.46 and 4,741.12

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Solution

The fourth proportional to 11,666.80, 17,499.46 and 4,741.12 is: 7,111.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,666.80 : 17,499.46 = 4,741.12 : x
  2. Step 2: Convert to fraction form
    11,666.80/17,499.46 = 4,741.12/x
  3. Step 3: Cross multiply
    11,666.80x = 17,499.46 × 4,741.12
  4. Step 4: Simplify right side
    11,666.80x = 82,967,039.80
  5. Step 5: Solve for x
    x = 82,967,039.80/11,666.80
  6. Step 6: Final answer
    x = 7,111.38

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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.