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Finding the Fourth Proportional to 9,758.97, 13,469.20 and 5,567.22

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Solution

The fourth proportional to 9,758.97, 13,469.20 and 5,567.22 is: 7,683.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,758.97 : 13,469.20 = 5,567.22 : x
  2. Step 2: Convert to fraction form
    9,758.97/13,469.20 = 5,567.22/x
  3. Step 3: Cross multiply
    9,758.97x = 13,469.20 × 5,567.22
  4. Step 4: Simplify right side
    9,758.97x = 74,985,999.62
  5. Step 5: Solve for x
    x = 74,985,999.62/9,758.97
  6. Step 6: Final answer
    x = 7,683.80

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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.