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Finding the Fourth Proportional to 9,689.52, 13,366.82 and 6,332.48

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Solution

The fourth proportional to 9,689.52, 13,366.82 and 6,332.48 is: 8,735.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,689.52 : 13,366.82 = 6,332.48 : x
  2. Step 2: Convert to fraction form
    9,689.52/13,366.82 = 6,332.48/x
  3. Step 3: Cross multiply
    9,689.52x = 13,366.82 × 6,332.48
  4. Step 4: Simplify right side
    9,689.52x = 84,645,119.44
  5. Step 5: Solve for x
    x = 84,645,119.44/9,689.52
  6. Step 6: Final answer
    x = 8,735.74

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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.