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Finding the Fourth Proportional to 37,772.56, 56,658.63 and 9,692.56

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Solution

The fourth proportional to 37,772.56, 56,658.63 and 9,692.56 is: 14,538.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,772.56 : 56,658.63 = 9,692.56 : x
  2. Step 2: Convert to fraction form
    37,772.56/56,658.63 = 9,692.56/x
  3. Step 3: Cross multiply
    37,772.56x = 56,658.63 × 9,692.56
  4. Step 4: Simplify right side
    37,772.56x = 549,167,170.79
  5. Step 5: Solve for x
    x = 549,167,170.79/37,772.56
  6. Step 6: Final answer
    x = 14,538.79

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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.