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Finding the Fourth Proportional to 37,755.70, 56,633.35 and 9,675.70

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Solution

The fourth proportional to 37,755.70, 56,633.35 and 9,675.70 is: 14,513.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,755.70 : 56,633.35 = 9,675.70 : x
  2. Step 2: Convert to fraction form
    37,755.70/56,633.35 = 9,675.70/x
  3. Step 3: Cross multiply
    37,755.70x = 56,633.35 × 9,675.70
  4. Step 4: Simplify right side
    37,755.70x = 547,967,304.60
  5. Step 5: Solve for x
    x = 547,967,304.60/37,755.70
  6. Step 6: Final answer
    x = 14,513.50

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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.