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Finding the Fourth Proportional to 12,856.80, 17,742.60 and 7,820.22

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Solution

The fourth proportional to 12,856.80, 17,742.60 and 7,820.22 is: 10,792.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,856.80 : 17,742.60 = 7,820.22 : x
  2. Step 2: Convert to fraction form
    12,856.80/17,742.60 = 7,820.22/x
  3. Step 3: Cross multiply
    12,856.80x = 17,742.60 × 7,820.22
  4. Step 4: Simplify right side
    12,856.80x = 138,751,035.37
  5. Step 5: Solve for x
    x = 138,751,035.37/12,856.80
  6. Step 6: Final answer
    x = 10,792.03

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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.