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Finding the Fourth Proportional to 9,794.26, 13,512.80 and 5,544.74

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Solution

The fourth proportional to 9,794.26, 13,512.80 and 5,544.74 is: 7,649.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,794.26 : 13,512.80 = 5,544.74 : x
  2. Step 2: Convert to fraction form
    9,794.26/13,512.80 = 5,544.74/x
  3. Step 3: Cross multiply
    9,794.26x = 13,512.80 × 5,544.74
  4. Step 4: Simplify right side
    9,794.26x = 74,924,962.67
  5. Step 5: Solve for x
    x = 74,924,962.67/9,794.26
  6. Step 6: Final answer
    x = 7,649.89

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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.