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Finding the Fourth Proportional to 9,751.96, 13,454.22 and 5,973.76

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Solution

The fourth proportional to 9,751.96, 13,454.22 and 5,973.76 is: 8,241.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,751.96 : 13,454.22 = 5,973.76 : x
  2. Step 2: Convert to fraction form
    9,751.96/13,454.22 = 5,973.76/x
  3. Step 3: Cross multiply
    9,751.96x = 13,454.22 × 5,973.76
  4. Step 4: Simplify right side
    9,751.96x = 80,372,281.27
  5. Step 5: Solve for x
    x = 80,372,281.27/9,751.96
  6. Step 6: Final answer
    x = 8,241.65

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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.