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Finding the Fourth Proportional to 10,672.80, 16,009.20 and 10,024.80

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Solution

The fourth proportional to 10,672.80, 16,009.20 and 10,024.80 is: 15,037.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,672.80 : 16,009.20 = 10,024.80 : x
  2. Step 2: Convert to fraction form
    10,672.80/16,009.20 = 10,024.80/x
  3. Step 3: Cross multiply
    10,672.80x = 16,009.20 × 10,024.80
  4. Step 4: Simplify right side
    10,672.80x = 160,489,028.16
  5. Step 5: Solve for x
    x = 160,489,028.16/10,672.80
  6. Step 6: Final answer
    x = 15,037.20

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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.