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Finding the Fourth Proportional to 7,692.48, 11,543.58 and 4,411.98

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Solution

The fourth proportional to 7,692.48, 11,543.58 and 4,411.98 is: 6,620.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,692.48 : 11,543.58 = 4,411.98 : x
  2. Step 2: Convert to fraction form
    7,692.48/11,543.58 = 4,411.98/x
  3. Step 3: Cross multiply
    7,692.48x = 11,543.58 × 4,411.98
  4. Step 4: Simplify right side
    7,692.48x = 50,930,044.09
  5. Step 5: Solve for x
    x = 50,930,044.09/7,692.48
  6. Step 6: Final answer
    x = 6,620.76

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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.