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Finding the Fourth Proportional to 9,876.67, 13,629.50 and 5,400.30

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Solution

The fourth proportional to 9,876.67, 13,629.50 and 5,400.30 is: 7,452.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,876.67 : 13,629.50 = 5,400.30 : x
  2. Step 2: Convert to fraction form
    9,876.67/13,629.50 = 5,400.30/x
  3. Step 3: Cross multiply
    9,876.67x = 13,629.50 × 5,400.30
  4. Step 4: Simplify right side
    9,876.67x = 73,603,433.21
  5. Step 5: Solve for x
    x = 73,603,433.21/9,876.67
  6. Step 6: Final answer
    x = 7,452.25

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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.