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Finding the Fourth Proportional to 7,203.96, 10,805.01 and 2,824.49

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Solution

The fourth proportional to 7,203.96, 10,805.01 and 2,824.49 is: 4,236.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,203.96 : 10,805.01 = 2,824.49 : x
  2. Step 2: Convert to fraction form
    7,203.96/10,805.01 = 2,824.49/x
  3. Step 3: Cross multiply
    7,203.96x = 10,805.01 × 2,824.49
  4. Step 4: Simplify right side
    7,203.96x = 30,518,588.67
  5. Step 5: Solve for x
    x = 30,518,588.67/7,203.96
  6. Step 6: Final answer
    x = 4,236.36

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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.