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Finding the Fourth Proportional to 11,597.66, 17,389.86 and 3,698.66

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Solution

The fourth proportional to 11,597.66, 17,389.86 and 3,698.66 is: 5,545.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,597.66 : 17,389.86 = 3,698.66 : x
  2. Step 2: Convert to fraction form
    11,597.66/17,389.86 = 3,698.66/x
  3. Step 3: Cross multiply
    11,597.66x = 17,389.86 × 3,698.66
  4. Step 4: Simplify right side
    11,597.66x = 64,319,179.59
  5. Step 5: Solve for x
    x = 64,319,179.59/11,597.66
  6. Step 6: Final answer
    x = 5,545.88

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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.