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Finding the Fourth Proportional to 4,692.84, 6,476.10 and 2,804.76

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Solution

The fourth proportional to 4,692.84, 6,476.10 and 2,804.76 is: 3,870.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,692.84 : 6,476.10 = 2,804.76 : x
  2. Step 2: Convert to fraction form
    4,692.84/6,476.10 = 2,804.76/x
  3. Step 3: Cross multiply
    4,692.84x = 6,476.10 × 2,804.76
  4. Step 4: Simplify right side
    4,692.84x = 18,163,906.24
  5. Step 5: Solve for x
    x = 18,163,906.24/4,692.84
  6. Step 6: Final answer
    x = 3,870.56

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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.