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Finding the Fourth Proportional to 22,322.54, 33,478.14 and 6,527.54

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Solution

The fourth proportional to 22,322.54, 33,478.14 and 6,527.54 is: 9,789.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,322.54 : 33,478.14 = 6,527.54 : x
  2. Step 2: Convert to fraction form
    22,322.54/33,478.14 = 6,527.54/x
  3. Step 3: Cross multiply
    22,322.54x = 33,478.14 × 6,527.54
  4. Step 4: Simplify right side
    22,322.54x = 218,529,897.98
  5. Step 5: Solve for x
    x = 218,529,897.98/22,322.54
  6. Step 6: Final answer
    x = 9,789.65

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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.