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Finding the Fourth Proportional to 22,353.42, 33,534.48 and 7,564.77

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Solution

The fourth proportional to 22,353.42, 33,534.48 and 7,564.77 is: 11,348.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,353.42 : 33,534.48 = 7,564.77 : x
  2. Step 2: Convert to fraction form
    22,353.42/33,534.48 = 7,564.77/x
  3. Step 3: Cross multiply
    22,353.42x = 33,534.48 × 7,564.77
  4. Step 4: Simplify right side
    22,353.42x = 253,680,628.27
  5. Step 5: Solve for x
    x = 253,680,628.27/22,353.42
  6. Step 6: Final answer
    x = 11,348.63

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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.