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Finding the Fourth Proportional to 7,949, 10,965.84 and 5,592.44

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Solution

The fourth proportional to 7,949, 10,965.84 and 5,592.44 is: 7,714.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,949 : 10,965.84 = 5,592.44 : x
  2. Step 2: Convert to fraction form
    7,949/10,965.84 = 5,592.44/x
  3. Step 3: Cross multiply
    7,949x = 10,965.84 × 5,592.44
  4. Step 4: Simplify right side
    7,949x = 61,325,802.25
  5. Step 5: Solve for x
    x = 61,325,802.25/7,949
  6. Step 6: Final answer
    x = 7,714.91

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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.