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Finding the Fourth Proportional to 24,306.78, 36,460.94 and 7,666.96

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Solution

The fourth proportional to 24,306.78, 36,460.94 and 7,666.96 is: 11,500.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,306.78 : 36,460.94 = 7,666.96 : x
  2. Step 2: Convert to fraction form
    24,306.78/36,460.94 = 7,666.96/x
  3. Step 3: Cross multiply
    24,306.78x = 36,460.94 × 7,666.96
  4. Step 4: Simplify right side
    24,306.78x = 279,544,568.54
  5. Step 5: Solve for x
    x = 279,544,568.54/24,306.78
  6. Step 6: Final answer
    x = 11,500.68

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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.