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Finding the Fourth Proportional to 7,692.48, 10,609.92 and 4,898.88

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Solution

The fourth proportional to 7,692.48, 10,609.92 and 4,898.88 is: 6,756.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,692.48 : 10,609.92 = 4,898.88 : x
  2. Step 2: Convert to fraction form
    7,692.48/10,609.92 = 4,898.88/x
  3. Step 3: Cross multiply
    7,692.48x = 10,609.92 × 4,898.88
  4. Step 4: Simplify right side
    7,692.48x = 51,976,724.89
  5. Step 5: Solve for x
    x = 51,976,724.89/7,692.48
  6. Step 6: Final answer
    x = 6,756.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.