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Finding the Fourth Proportional to 11,666.88, 17,509.05 and 6,729.93

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Solution

The fourth proportional to 11,666.88, 17,509.05 and 6,729.93 is: 10,099.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,666.88 : 17,509.05 = 6,729.93 : x
  2. Step 2: Convert to fraction form
    11,666.88/17,509.05 = 6,729.93/x
  3. Step 3: Cross multiply
    11,666.88x = 17,509.05 × 6,729.93
  4. Step 4: Simplify right side
    11,666.88x = 117,834,680.87
  5. Step 5: Solve for x
    x = 117,834,680.87/11,666.88
  6. Step 6: Final answer
    x = 10,099.93

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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.