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Finding the Fourth Proportional to 10,692.84, 14,756.25 and 5,977.20

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Solution

The fourth proportional to 10,692.84, 14,756.25 and 5,977.20 is: 8,248.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,692.84 : 14,756.25 = 5,977.20 : x
  2. Step 2: Convert to fraction form
    10,692.84/14,756.25 = 5,977.20/x
  3. Step 3: Cross multiply
    10,692.84x = 14,756.25 × 5,977.20
  4. Step 4: Simplify right side
    10,692.84x = 88,201,057.50
  5. Step 5: Solve for x
    x = 88,201,057.50/10,692.84
  6. Step 6: Final answer
    x = 8,248.61

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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.