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Finding the Fourth Proportional to 8,524.54, 11,770.05 and 7,343.56

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Solution

The fourth proportional to 8,524.54, 11,770.05 and 7,343.56 is: 10,139.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,524.54 : 11,770.05 = 7,343.56 : x
  2. Step 2: Convert to fraction form
    8,524.54/11,770.05 = 7,343.56/x
  3. Step 3: Cross multiply
    8,524.54x = 11,770.05 × 7,343.56
  4. Step 4: Simplify right side
    8,524.54x = 86,434,068.38
  5. Step 5: Solve for x
    x = 86,434,068.38/8,524.54
  6. Step 6: Final answer
    x = 10,139.44

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Half scale
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Double scale
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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.