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Finding the Fourth Proportional to 37,692.48, 56,538.72 and 9,614.64

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Solution

The fourth proportional to 37,692.48, 56,538.72 and 9,614.64 is: 14,421.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,692.48 : 56,538.72 = 9,614.64 : x
  2. Step 2: Convert to fraction form
    37,692.48/56,538.72 = 9,614.64/x
  3. Step 3: Cross multiply
    37,692.48x = 56,538.72 × 9,614.64
  4. Step 4: Simplify right side
    37,692.48x = 543,599,438.86
  5. Step 5: Solve for x
    x = 543,599,438.86/37,692.48
  6. Step 6: Final answer
    x = 14,421.96

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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.