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Finding the Fourth Proportional to 12,856.64, 17,749.91 and 8,388.14

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Solution

The fourth proportional to 12,856.64, 17,749.91 and 8,388.14 is: 11,580.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,856.64 : 17,749.91 = 8,388.14 : x
  2. Step 2: Convert to fraction form
    12,856.64/17,749.91 = 8,388.14/x
  3. Step 3: Cross multiply
    12,856.64x = 17,749.91 × 8,388.14
  4. Step 4: Simplify right side
    12,856.64x = 148,888,688.13
  5. Step 5: Solve for x
    x = 148,888,688.13/12,856.64
  6. Step 6: Final answer
    x = 11,580.68

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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.