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Finding the Fourth Proportional to 11,604.57, 17,411.40 and 6,927.12

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Solution

The fourth proportional to 11,604.57, 17,411.40 and 6,927.12 is: 10,393.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,604.57 : 17,411.40 = 6,927.12 : x
  2. Step 2: Convert to fraction form
    11,604.57/17,411.40 = 6,927.12/x
  3. Step 3: Cross multiply
    11,604.57x = 17,411.40 × 6,927.12
  4. Step 4: Simplify right side
    11,604.57x = 120,610,857.17
  5. Step 5: Solve for x
    x = 120,610,857.17/11,604.57
  6. Step 6: Final answer
    x = 10,393.39

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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.