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Finding the Fourth Proportional to 6,563.58, 9,053.67 and 3,909.42

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Solution

The fourth proportional to 6,563.58, 9,053.67 and 3,909.42 is: 5,392.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,563.58 : 9,053.67 = 3,909.42 : x
  2. Step 2: Convert to fraction form
    6,563.58/9,053.67 = 3,909.42/x
  3. Step 3: Cross multiply
    6,563.58x = 9,053.67 × 3,909.42
  4. Step 4: Simplify right side
    6,563.58x = 35,394,598.57
  5. Step 5: Solve for x
    x = 35,394,598.57/6,563.58
  6. Step 6: Final answer
    x = 5,392.58

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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.