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Finding the Fourth Proportional to 10,774.70, 16,179.05 and 6,411.63

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Solution

The fourth proportional to 10,774.70, 16,179.05 and 6,411.63 is: 9,627.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,774.70 : 16,179.05 = 6,411.63 : x
  2. Step 2: Convert to fraction form
    10,774.70/16,179.05 = 6,411.63/x
  3. Step 3: Cross multiply
    10,774.70x = 16,179.05 × 6,411.63
  4. Step 4: Simplify right side
    10,774.70x = 103,734,098.38
  5. Step 5: Solve for x
    x = 103,734,098.38/10,774.70
  6. Step 6: Final answer
    x = 9,627.57

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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.