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Finding the Fourth Proportional to 9,731.88, 13,424.94 and 6,188.94

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Solution

The fourth proportional to 9,731.88, 13,424.94 and 6,188.94 is: 8,537.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,731.88 : 13,424.94 = 6,188.94 : x
  2. Step 2: Convert to fraction form
    9,731.88/13,424.94 = 6,188.94/x
  3. Step 3: Cross multiply
    9,731.88x = 13,424.94 × 6,188.94
  4. Step 4: Simplify right side
    9,731.88x = 83,086,148.16
  5. Step 5: Solve for x
    x = 83,086,148.16/9,731.88
  6. Step 6: Final answer
    x = 8,537.52

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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.