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Finding the Fourth Proportional to 10,852.21, 16,256.47 and 8,224.21

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Solution

The fourth proportional to 10,852.21, 16,256.47 and 8,224.21 is: 12,319.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,852.21 : 16,256.47 = 8,224.21 : x
  2. Step 2: Convert to fraction form
    10,852.21/16,256.47 = 8,224.21/x
  3. Step 3: Cross multiply
    10,852.21x = 16,256.47 × 8,224.21
  4. Step 4: Simplify right side
    10,852.21x = 133,696,521.30
  5. Step 5: Solve for x
    x = 133,696,521.30/10,852.21
  6. Step 6: Final answer
    x = 12,319.76

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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.