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Finding the Fourth Proportional to 6,536.56, 9,021.92 and 4,020.84

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Solution

The fourth proportional to 6,536.56, 9,021.92 and 4,020.84 is: 5,549.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,536.56 : 9,021.92 = 4,020.84 : x
  2. Step 2: Convert to fraction form
    6,536.56/9,021.92 = 4,020.84/x
  3. Step 3: Cross multiply
    6,536.56x = 9,021.92 × 4,020.84
  4. Step 4: Simplify right side
    6,536.56x = 36,275,696.81
  5. Step 5: Solve for x
    x = 36,275,696.81/6,536.56
  6. Step 6: Final answer
    x = 5,549.66

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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.