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Finding the Fourth Proportional to 9,832.44, 13,555.50 and 9,526.68

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Solution

The fourth proportional to 9,832.44, 13,555.50 and 9,526.68 is: 13,133.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,832.44 : 13,555.50 = 9,526.68 : x
  2. Step 2: Convert to fraction form
    9,832.44/13,555.50 = 9,526.68/x
  3. Step 3: Cross multiply
    9,832.44x = 13,555.50 × 9,526.68
  4. Step 4: Simplify right side
    9,832.44x = 129,138,910.74
  5. Step 5: Solve for x
    x = 129,138,910.74/9,832.44
  6. Step 6: Final answer
    x = 13,133.96

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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.