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Finding the Fourth Proportional to 11,641.80, 17,462.70 and 5,809.80

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Solution

The fourth proportional to 11,641.80, 17,462.70 and 5,809.80 is: 8,714.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,641.80 : 17,462.70 = 5,809.80 : x
  2. Step 2: Convert to fraction form
    11,641.80/17,462.70 = 5,809.80/x
  3. Step 3: Cross multiply
    11,641.80x = 17,462.70 × 5,809.80
  4. Step 4: Simplify right side
    11,641.80x = 101,454,794.46
  5. Step 5: Solve for x
    x = 101,454,794.46/11,641.80
  6. Step 6: Final answer
    x = 8,714.70

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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.