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Finding the Fourth Proportional to 22,503.64, 33,760.23 and 7,708.58

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Solution

The fourth proportional to 22,503.64, 33,760.23 and 7,708.58 is: 11,564.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,503.64 : 33,760.23 = 7,708.58 : x
  2. Step 2: Convert to fraction form
    22,503.64/33,760.23 = 7,708.58/x
  3. Step 3: Cross multiply
    22,503.64x = 33,760.23 × 7,708.58
  4. Step 4: Simplify right side
    22,503.64x = 260,243,433.77
  5. Step 5: Solve for x
    x = 260,243,433.77/22,503.64
  6. Step 6: Final answer
    x = 11,564.51

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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.