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Finding the Fourth Proportional to 8,537.74, 12,800.39 and 5,757.50

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Solution

The fourth proportional to 8,537.74, 12,800.39 and 5,757.50 is: 8,632.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,537.74 : 12,800.39 = 5,757.50 : x
  2. Step 2: Convert to fraction form
    8,537.74/12,800.39 = 5,757.50/x
  3. Step 3: Cross multiply
    8,537.74x = 12,800.39 × 5,757.50
  4. Step 4: Simplify right side
    8,537.74x = 73,698,248.64
  5. Step 5: Solve for x
    x = 73,698,248.64/8,537.74
  6. Step 6: Final answer
    x = 8,632.06

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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.