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Finding the Fourth Proportional to 11,566.16, 17,321.24 and 6,620.80

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Solution

The fourth proportional to 11,566.16, 17,321.24 and 6,620.80 is: 9,915.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,566.16 : 17,321.24 = 6,620.80 : x
  2. Step 2: Convert to fraction form
    11,566.16/17,321.24 = 6,620.80/x
  3. Step 3: Cross multiply
    11,566.16x = 17,321.24 × 6,620.80
  4. Step 4: Simplify right side
    11,566.16x = 114,680,465.79
  5. Step 5: Solve for x
    x = 114,680,465.79/11,566.16
  6. Step 6: Final answer
    x = 9,915.17

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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.