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Finding the Fourth Proportional to 9,963.48, 13,755.48 and 8,856.24

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Solution

The fourth proportional to 9,963.48, 13,755.48 and 8,856.24 is: 12,226.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,963.48 : 13,755.48 = 8,856.24 : x
  2. Step 2: Convert to fraction form
    9,963.48/13,755.48 = 8,856.24/x
  3. Step 3: Cross multiply
    9,963.48x = 13,755.48 × 8,856.24
  4. Step 4: Simplify right side
    9,963.48x = 121,821,832.20
  5. Step 5: Solve for x
    x = 121,821,832.20/9,963.48
  6. Step 6: Final answer
    x = 12,226.84

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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.