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Finding the Fourth Proportional to 24,938.84, 37,414.35 and 8,298.83

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Solution

The fourth proportional to 24,938.84, 37,414.35 and 8,298.83 is: 12,450.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,938.84 : 37,414.35 = 8,298.83 : x
  2. Step 2: Convert to fraction form
    24,938.84/37,414.35 = 8,298.83/x
  3. Step 3: Cross multiply
    24,938.84x = 37,414.35 × 8,298.83
  4. Step 4: Simplify right side
    24,938.84x = 310,495,143.14
  5. Step 5: Solve for x
    x = 310,495,143.14/24,938.84
  6. Step 6: Final answer
    x = 12,450.27

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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.