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Finding the Fourth Proportional to 9,634.64, 13,305.48 and 8,300.84

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Solution

The fourth proportional to 9,634.64, 13,305.48 and 8,300.84 is: 11,463.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,634.64 : 13,305.48 = 8,300.84 : x
  2. Step 2: Convert to fraction form
    9,634.64/13,305.48 = 8,300.84/x
  3. Step 3: Cross multiply
    9,634.64x = 13,305.48 × 8,300.84
  4. Step 4: Simplify right side
    9,634.64x = 110,446,660.60
  5. Step 5: Solve for x
    x = 110,446,660.60/9,634.64
  6. Step 6: Final answer
    x = 11,463.50

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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.