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Finding the Fourth Proportional to 9,676.98, 13,348.53 and 5,944.50

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Solution

The fourth proportional to 9,676.98, 13,348.53 and 5,944.50 is: 8,199.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,676.98 : 13,348.53 = 5,944.50 : x
  2. Step 2: Convert to fraction form
    9,676.98/13,348.53 = 5,944.50/x
  3. Step 3: Cross multiply
    9,676.98x = 13,348.53 × 5,944.50
  4. Step 4: Simplify right side
    9,676.98x = 79,350,336.59
  5. Step 5: Solve for x
    x = 79,350,336.59/9,676.98
  6. Step 6: Final answer
    x = 8,199.91

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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.