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Finding the Fourth Proportional to 9,944.64, 13,713.12 and 8,533.44

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Solution

The fourth proportional to 9,944.64, 13,713.12 and 8,533.44 is: 11,767.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,944.64 : 13,713.12 = 8,533.44 : x
  2. Step 2: Convert to fraction form
    9,944.64/13,713.12 = 8,533.44/x
  3. Step 3: Cross multiply
    9,944.64x = 13,713.12 × 8,533.44
  4. Step 4: Simplify right side
    9,944.64x = 117,020,086.73
  5. Step 5: Solve for x
    x = 117,020,086.73/9,944.64
  6. Step 6: Final answer
    x = 11,767.15

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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.