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Finding the Fourth Proportional to 9,798.96, 14,692.64 and 3,876.24

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Solution

The fourth proportional to 9,798.96, 14,692.64 and 3,876.24 is: 5,812.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,798.96 : 14,692.64 = 3,876.24 : x
  2. Step 2: Convert to fraction form
    9,798.96/14,692.64 = 3,876.24/x
  3. Step 3: Cross multiply
    9,798.96x = 14,692.64 × 3,876.24
  4. Step 4: Simplify right side
    9,798.96x = 56,952,198.87
  5. Step 5: Solve for x
    x = 56,952,198.87/9,798.96
  6. Step 6: Final answer
    x = 5,812.07

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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.