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Finding the Fourth Proportional to 8,971.22, 12,381.38 and 5,434.42

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Solution

The fourth proportional to 8,971.22, 12,381.38 and 5,434.42 is: 7,500.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,971.22 : 12,381.38 = 5,434.42 : x
  2. Step 2: Convert to fraction form
    8,971.22/12,381.38 = 5,434.42/x
  3. Step 3: Cross multiply
    8,971.22x = 12,381.38 × 5,434.42
  4. Step 4: Simplify right side
    8,971.22x = 67,285,619.10
  5. Step 5: Solve for x
    x = 67,285,619.10/8,971.22
  6. Step 6: Final answer
    x = 7,500.16

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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.