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Finding the Fourth Proportional to 12,701.60, 19,063.20 and 5,692.40

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Solution

The fourth proportional to 12,701.60, 19,063.20 and 5,692.40 is: 8,543.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,701.60 : 19,063.20 = 5,692.40 : x
  2. Step 2: Convert to fraction form
    12,701.60/19,063.20 = 5,692.40/x
  3. Step 3: Cross multiply
    12,701.60x = 19,063.20 × 5,692.40
  4. Step 4: Simplify right side
    12,701.60x = 108,515,359.68
  5. Step 5: Solve for x
    x = 108,515,359.68/12,701.60
  6. Step 6: Final answer
    x = 8,543.44

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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.