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Finding the Fourth Proportional to 8,492.34, 12,720.06 and 5,195.46

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Solution

The fourth proportional to 8,492.34, 12,720.06 and 5,195.46 is: 7,781.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,492.34 : 12,720.06 = 5,195.46 : x
  2. Step 2: Convert to fraction form
    8,492.34/12,720.06 = 5,195.46/x
  3. Step 3: Cross multiply
    8,492.34x = 12,720.06 × 5,195.46
  4. Step 4: Simplify right side
    8,492.34x = 66,086,562.93
  5. Step 5: Solve for x
    x = 66,086,562.93/8,492.34
  6. Step 6: Final answer
    x = 7,781.90

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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.