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Finding the Fourth Proportional to 11,464.60, 15,820.86 and 6,749.17

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Solution

The fourth proportional to 11,464.60, 15,820.86 and 6,749.17 is: 9,313.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,464.60 : 15,820.86 = 6,749.17 : x
  2. Step 2: Convert to fraction form
    11,464.60/15,820.86 = 6,749.17/x
  3. Step 3: Cross multiply
    11,464.60x = 15,820.86 × 6,749.17
  4. Step 4: Simplify right side
    11,464.60x = 106,777,673.69
  5. Step 5: Solve for x
    x = 106,777,673.69/11,464.60
  6. Step 6: Final answer
    x = 9,313.69

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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.