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Finding the Fourth Proportional to 9,775.28, 13,489.94 and 7,533

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Solution

The fourth proportional to 9,775.28, 13,489.94 and 7,533 is: 10,395.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,775.28 : 13,489.94 = 7,533 : x
  2. Step 2: Convert to fraction form
    9,775.28/13,489.94 = 7,533/x
  3. Step 3: Cross multiply
    9,775.28x = 13,489.94 × 7,533
  4. Step 4: Simplify right side
    9,775.28x = 101,619,736.85
  5. Step 5: Solve for x
    x = 101,619,736.85/9,775.28
  6. Step 6: Final answer
    x = 10,395.58

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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.