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Finding the Fourth Proportional to 10,714.28, 16,166.50 and 10,714.28

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Solution

The fourth proportional to 10,714.28, 16,166.50 and 10,714.28 is: 16,166.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,714.28 : 16,166.50 = 10,714.28 : x
  2. Step 2: Convert to fraction form
    10,714.28/16,166.50 = 10,714.28/x
  3. Step 3: Cross multiply
    10,714.28x = 16,166.50 × 10,714.28
  4. Step 4: Simplify right side
    10,714.28x = 173,212,407.62
  5. Step 5: Solve for x
    x = 173,212,407.62/10,714.28
  6. Step 6: Final answer
    x = 16,166.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.