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Finding the Fourth Proportional to 21,714.96, 32,568.96 and 6,133.68

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Solution

The fourth proportional to 21,714.96, 32,568.96 and 6,133.68 is: 9,199.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,714.96 : 32,568.96 = 6,133.68 : x
  2. Step 2: Convert to fraction form
    21,714.96/32,568.96 = 6,133.68/x
  3. Step 3: Cross multiply
    21,714.96x = 32,568.96 × 6,133.68
  4. Step 4: Simplify right side
    21,714.96x = 199,767,578.57
  5. Step 5: Solve for x
    x = 199,767,578.57/21,714.96
  6. Step 6: Final answer
    x = 9,199.54

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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.