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Finding the Fourth Proportional to 8,971.70, 12,381.35 and 5,195.03

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Solution

The fourth proportional to 8,971.70, 12,381.35 and 5,195.03 is: 7,169.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,971.70 : 12,381.35 = 5,195.03 : x
  2. Step 2: Convert to fraction form
    8,971.70/12,381.35 = 5,195.03/x
  3. Step 3: Cross multiply
    8,971.70x = 12,381.35 × 5,195.03
  4. Step 4: Simplify right side
    8,971.70x = 64,321,396.81
  5. Step 5: Solve for x
    x = 64,321,396.81/8,971.70
  6. Step 6: Final answer
    x = 7,169.37

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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.