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Finding the Fourth Proportional to 22,526.71, 33,790.88 and 7,735.54

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Solution

The fourth proportional to 22,526.71, 33,790.88 and 7,735.54 is: 11,603.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,526.71 : 33,790.88 = 7,735.54 : x
  2. Step 2: Convert to fraction form
    22,526.71/33,790.88 = 7,735.54/x
  3. Step 3: Cross multiply
    22,526.71x = 33,790.88 × 7,735.54
  4. Step 4: Simplify right side
    22,526.71x = 261,390,496.24
  5. Step 5: Solve for x
    x = 261,390,496.24/22,526.71
  6. Step 6: Final answer
    x = 11,603.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.