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Finding the Fourth Proportional to 5,649.24, 7,796 and 3,165.24

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Solution

The fourth proportional to 5,649.24, 7,796 and 3,165.24 is: 4,368.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,649.24 : 7,796 = 3,165.24 : x
  2. Step 2: Convert to fraction form
    5,649.24/7,796 = 3,165.24/x
  3. Step 3: Cross multiply
    5,649.24x = 7,796 × 3,165.24
  4. Step 4: Simplify right side
    5,649.24x = 24,676,211.04
  5. Step 5: Solve for x
    x = 24,676,211.04/5,649.24
  6. Step 6: Final answer
    x = 4,368.06

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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.