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Finding the Fourth Proportional to 6,538.56, 9,017.64 and 6,033.12

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Solution

The fourth proportional to 6,538.56, 9,017.64 and 6,033.12 is: 8,320.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,538.56 : 9,017.64 = 6,033.12 : x
  2. Step 2: Convert to fraction form
    6,538.56/9,017.64 = 6,033.12/x
  3. Step 3: Cross multiply
    6,538.56x = 9,017.64 × 6,033.12
  4. Step 4: Simplify right side
    6,538.56x = 54,404,504.24
  5. Step 5: Solve for x
    x = 54,404,504.24/6,538.56
  6. Step 6: Final answer
    x = 8,320.56

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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.