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Finding the Fourth Proportional to 37,745.70, 56,618.35 and 9,665.70

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Solution

The fourth proportional to 37,745.70, 56,618.35 and 9,665.70 is: 14,498.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,745.70 : 56,618.35 = 9,665.70 : x
  2. Step 2: Convert to fraction form
    37,745.70/56,618.35 = 9,665.70/x
  3. Step 3: Cross multiply
    37,745.70x = 56,618.35 × 9,665.70
  4. Step 4: Simplify right side
    37,745.70x = 547,255,961.43
  5. Step 5: Solve for x
    x = 547,255,961.43/37,745.70
  6. Step 6: Final answer
    x = 14,498.50

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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.