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Finding the Fourth Proportional to 24,460.52, 36,692.80 and 7,822.92

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Solution

The fourth proportional to 24,460.52, 36,692.80 and 7,822.92 is: 11,735.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,460.52 : 36,692.80 = 7,822.92 : x
  2. Step 2: Convert to fraction form
    24,460.52/36,692.80 = 7,822.92/x
  3. Step 3: Cross multiply
    24,460.52x = 36,692.80 × 7,822.92
  4. Step 4: Simplify right side
    24,460.52x = 287,044,838.98
  5. Step 5: Solve for x
    x = 287,044,838.98/24,460.52
  6. Step 6: Final answer
    x = 11,735.03

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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.