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Finding the Fourth Proportional to 5,825, 8,042.16 and 4,496.24

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Solution

The fourth proportional to 5,825, 8,042.16 and 4,496.24 is: 6,207.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,825 : 8,042.16 = 4,496.24 : x
  2. Step 2: Convert to fraction form
    5,825/8,042.16 = 4,496.24/x
  3. Step 3: Cross multiply
    5,825x = 8,042.16 × 4,496.24
  4. Step 4: Simplify right side
    5,825x = 36,159,481.48
  5. Step 5: Solve for x
    x = 36,159,481.48/5,825
  6. Step 6: Final answer
    x = 6,207.64

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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.