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Finding the Fourth Proportional to 24,627.78, 36,942.48 and 7,097.76

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Solution

The fourth proportional to 24,627.78, 36,942.48 and 7,097.76 is: 10,646.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,627.78 : 36,942.48 = 7,097.76 : x
  2. Step 2: Convert to fraction form
    24,627.78/36,942.48 = 7,097.76/x
  3. Step 3: Cross multiply
    24,627.78x = 36,942.48 × 7,097.76
  4. Step 4: Simplify right side
    24,627.78x = 262,208,856.84
  5. Step 5: Solve for x
    x = 262,208,856.84/24,627.78
  6. Step 6: Final answer
    x = 10,646.87

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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.