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Finding the Fourth Proportional to 9,604.82, 13,257.16 and 6,256.82

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Solution

The fourth proportional to 9,604.82, 13,257.16 and 6,256.82 is: 8,636.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,604.82 : 13,257.16 = 6,256.82 : x
  2. Step 2: Convert to fraction form
    9,604.82/13,257.16 = 6,256.82/x
  3. Step 3: Cross multiply
    9,604.82x = 13,257.16 × 6,256.82
  4. Step 4: Simplify right side
    9,604.82x = 82,947,663.83
  5. Step 5: Solve for x
    x = 82,947,663.83/9,604.82
  6. Step 6: Final answer
    x = 8,636.05

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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.