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Finding the Fourth Proportional to 7,005.16, 9,659.22 and 6,843.88

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Solution

The fourth proportional to 7,005.16, 9,659.22 and 6,843.88 is: 9,436.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,005.16 : 9,659.22 = 6,843.88 : x
  2. Step 2: Convert to fraction form
    7,005.16/9,659.22 = 6,843.88/x
  3. Step 3: Cross multiply
    7,005.16x = 9,659.22 × 6,843.88
  4. Step 4: Simplify right side
    7,005.16x = 66,106,542.57
  5. Step 5: Solve for x
    x = 66,106,542.57/7,005.16
  6. Step 6: Final answer
    x = 9,436.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.