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Finding the Fourth Proportional to 19,710.10, 27,200.04 and 10,757.81

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Solution

The fourth proportional to 19,710.10, 27,200.04 and 10,757.81 is: 14,845.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,710.10 : 27,200.04 = 10,757.81 : x
  2. Step 2: Convert to fraction form
    19,710.10/27,200.04 = 10,757.81/x
  3. Step 3: Cross multiply
    19,710.10x = 27,200.04 × 10,757.81
  4. Step 4: Simplify right side
    19,710.10x = 292,612,889.97
  5. Step 5: Solve for x
    x = 292,612,889.97/19,710.10
  6. Step 6: Final answer
    x = 14,845.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.