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Finding the Fourth Proportional to 8,486.22, 12,712.86 and 4,777.14

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Solution

The fourth proportional to 8,486.22, 12,712.86 and 4,777.14 is: 7,156.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,486.22 : 12,712.86 = 4,777.14 : x
  2. Step 2: Convert to fraction form
    8,486.22/12,712.86 = 4,777.14/x
  3. Step 3: Cross multiply
    8,486.22x = 12,712.86 × 4,777.14
  4. Step 4: Simplify right side
    8,486.22x = 60,731,112.02
  5. Step 5: Solve for x
    x = 60,731,112.02/8,486.22
  6. Step 6: Final answer
    x = 7,156.44

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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.