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Finding the Fourth Proportional to 10,714.68, 16,072.20 and 10,136.34

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Solution

The fourth proportional to 10,714.68, 16,072.20 and 10,136.34 is: 15,204.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,714.68 : 16,072.20 = 10,136.34 : x
  2. Step 2: Convert to fraction form
    10,714.68/16,072.20 = 10,136.34/x
  3. Step 3: Cross multiply
    10,714.68x = 16,072.20 × 10,136.34
  4. Step 4: Simplify right side
    10,714.68x = 162,913,283.75
  5. Step 5: Solve for x
    x = 162,913,283.75/10,714.68
  6. Step 6: Final answer
    x = 15,204.68

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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.