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Finding the Fourth Proportional to 9,753, 13,459.30 and 6,963.24

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Solution

The fourth proportional to 9,753, 13,459.30 and 6,963.24 is: 9,609.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,753 : 13,459.30 = 6,963.24 : x
  2. Step 2: Convert to fraction form
    9,753/13,459.30 = 6,963.24/x
  3. Step 3: Cross multiply
    9,753x = 13,459.30 × 6,963.24
  4. Step 4: Simplify right side
    9,753x = 93,720,336.13
  5. Step 5: Solve for x
    x = 93,720,336.13/9,753
  6. Step 6: Final answer
    x = 9,609.39

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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.