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Finding the Fourth Proportional to 9,732.98, 13,437.47 and 6,333.22

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Solution

The fourth proportional to 9,732.98, 13,437.47 and 6,333.22 is: 8,743.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,732.98 : 13,437.47 = 6,333.22 : x
  2. Step 2: Convert to fraction form
    9,732.98/13,437.47 = 6,333.22/x
  3. Step 3: Cross multiply
    9,732.98x = 13,437.47 × 6,333.22
  4. Step 4: Simplify right side
    9,732.98x = 85,102,453.75
  5. Step 5: Solve for x
    x = 85,102,453.75/9,732.98
  6. Step 6: Final answer
    x = 8,743.72

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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.