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Finding the Fourth Proportional to 9,814.80, 13,542.92 and 5,835.84

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Solution

The fourth proportional to 9,814.80, 13,542.92 and 5,835.84 is: 8,052.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,814.80 : 13,542.92 = 5,835.84 : x
  2. Step 2: Convert to fraction form
    9,814.80/13,542.92 = 5,835.84/x
  3. Step 3: Cross multiply
    9,814.80x = 13,542.92 × 5,835.84
  4. Step 4: Simplify right side
    9,814.80x = 79,034,314.25
  5. Step 5: Solve for x
    x = 79,034,314.25/9,814.80
  6. Step 6: Final answer
    x = 8,052.56

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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.