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Finding the Fourth Proportional to 9,505.80, 13,099.86 and 8,261.64

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Solution

The fourth proportional to 9,505.80, 13,099.86 and 8,261.64 is: 11,385.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,505.80 : 13,099.86 = 8,261.64 : x
  2. Step 2: Convert to fraction form
    9,505.80/13,099.86 = 8,261.64/x
  3. Step 3: Cross multiply
    9,505.80x = 13,099.86 × 8,261.64
  4. Step 4: Simplify right side
    9,505.80x = 108,226,327.37
  5. Step 5: Solve for x
    x = 108,226,327.37/9,505.80
  6. Step 6: Final answer
    x = 11,385.29

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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.