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Finding the Fourth Proportional to 12,832.56, 17,703.81 and 8,354.67

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Solution

The fourth proportional to 12,832.56, 17,703.81 and 8,354.67 is: 11,526.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,832.56 : 17,703.81 = 8,354.67 : x
  2. Step 2: Convert to fraction form
    12,832.56/17,703.81 = 8,354.67/x
  3. Step 3: Cross multiply
    12,832.56x = 17,703.81 × 8,354.67
  4. Step 4: Simplify right side
    12,832.56x = 147,909,490.29
  5. Step 5: Solve for x
    x = 147,909,490.29/12,832.56
  6. Step 6: Final answer
    x = 11,526.11

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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.