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Finding the Fourth Proportional to 9,797.88, 13,511.86 and 7,556.20

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Solution

The fourth proportional to 9,797.88, 13,511.86 and 7,556.20 is: 10,420.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,797.88 : 13,511.86 = 7,556.20 : x
  2. Step 2: Convert to fraction form
    9,797.88/13,511.86 = 7,556.20/x
  3. Step 3: Cross multiply
    9,797.88x = 13,511.86 × 7,556.20
  4. Step 4: Simplify right side
    9,797.88x = 102,098,350.31
  5. Step 5: Solve for x
    x = 102,098,350.31/9,797.88
  6. Step 6: Final answer
    x = 10,420.46

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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.