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Finding the Fourth Proportional to 11,832.96, 17,749.44 and 6,565.46

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Solution

The fourth proportional to 11,832.96, 17,749.44 and 6,565.46 is: 9,848.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,832.96 : 17,749.44 = 6,565.46 : x
  2. Step 2: Convert to fraction form
    11,832.96/17,749.44 = 6,565.46/x
  3. Step 3: Cross multiply
    11,832.96x = 17,749.44 × 6,565.46
  4. Step 4: Simplify right side
    11,832.96x = 116,533,238.34
  5. Step 5: Solve for x
    x = 116,533,238.34/11,832.96
  6. Step 6: Final answer
    x = 9,848.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.