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Finding the Fourth Proportional to 24,501.63, 36,755.88 and 7,857.75

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Solution

The fourth proportional to 24,501.63, 36,755.88 and 7,857.75 is: 11,787.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,501.63 : 36,755.88 = 7,857.75 : x
  2. Step 2: Convert to fraction form
    24,501.63/36,755.88 = 7,857.75/x
  3. Step 3: Cross multiply
    24,501.63x = 36,755.88 × 7,857.75
  4. Step 4: Simplify right side
    24,501.63x = 288,818,516.07
  5. Step 5: Solve for x
    x = 288,818,516.07/24,501.63
  6. Step 6: Final answer
    x = 11,787.73

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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.