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Finding the Fourth Proportional to 25,101.78, 37,652.80 and 8,461.96

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Solution

The fourth proportional to 25,101.78, 37,652.80 and 8,461.96 is: 12,692.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,101.78 : 37,652.80 = 8,461.96 : x
  2. Step 2: Convert to fraction form
    25,101.78/37,652.80 = 8,461.96/x
  3. Step 3: Cross multiply
    25,101.78x = 37,652.80 × 8,461.96
  4. Step 4: Simplify right side
    25,101.78x = 318,616,299.22
  5. Step 5: Solve for x
    x = 318,616,299.22/25,101.78
  6. Step 6: Final answer
    x = 12,692.98

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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.