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Finding the Fourth Proportional to 9,562.80, 13,186.02 and 6,538.41

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Solution

The fourth proportional to 9,562.80, 13,186.02 and 6,538.41 is: 9,015.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,562.80 : 13,186.02 = 6,538.41 : x
  2. Step 2: Convert to fraction form
    9,562.80/13,186.02 = 6,538.41/x
  3. Step 3: Cross multiply
    9,562.80x = 13,186.02 × 6,538.41
  4. Step 4: Simplify right side
    9,562.80x = 86,215,605.03
  5. Step 5: Solve for x
    x = 86,215,605.03/9,562.80
  6. Step 6: Final answer
    x = 9,015.73

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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.