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Finding the Fourth Proportional to 9,644.33, 13,309 and 5,452.58

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Solution

The fourth proportional to 9,644.33, 13,309 and 5,452.58 is: 7,524.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,644.33 : 13,309 = 5,452.58 : x
  2. Step 2: Convert to fraction form
    9,644.33/13,309 = 5,452.58/x
  3. Step 3: Cross multiply
    9,644.33x = 13,309 × 5,452.58
  4. Step 4: Simplify right side
    9,644.33x = 72,568,387.22
  5. Step 5: Solve for x
    x = 72,568,387.22/9,644.33
  6. Step 6: Final answer
    x = 7,524.46

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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.