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Finding the Fourth Proportional to 10,487.52, 14,454.99 and 6,944.58

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Solution

The fourth proportional to 10,487.52, 14,454.99 and 6,944.58 is: 9,571.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,487.52 : 14,454.99 = 6,944.58 : x
  2. Step 2: Convert to fraction form
    10,487.52/14,454.99 = 6,944.58/x
  3. Step 3: Cross multiply
    10,487.52x = 14,454.99 × 6,944.58
  4. Step 4: Simplify right side
    10,487.52x = 100,383,834.45
  5. Step 5: Solve for x
    x = 100,383,834.45/10,487.52
  6. Step 6: Final answer
    x = 9,571.74

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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.