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Finding the Fourth Proportional to 11,402.70, 15,734.55 and 6,366.37

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Solution

The fourth proportional to 11,402.70, 15,734.55 and 6,366.37 is: 8,784.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,402.70 : 15,734.55 = 6,366.37 : x
  2. Step 2: Convert to fraction form
    11,402.70/15,734.55 = 6,366.37/x
  3. Step 3: Cross multiply
    11,402.70x = 15,734.55 × 6,366.37
  4. Step 4: Simplify right side
    11,402.70x = 100,172,025.38
  5. Step 5: Solve for x
    x = 100,172,025.38/11,402.70
  6. Step 6: Final answer
    x = 8,784.94

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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.