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Finding the Fourth Proportional to 9,692.34, 14,538.51 and 2,766.84

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Solution

The fourth proportional to 9,692.34, 14,538.51 and 2,766.84 is: 4,150.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,692.34 : 14,538.51 = 2,766.84 : x
  2. Step 2: Convert to fraction form
    9,692.34/14,538.51 = 2,766.84/x
  3. Step 3: Cross multiply
    9,692.34x = 14,538.51 × 2,766.84
  4. Step 4: Simplify right side
    9,692.34x = 40,225,731.01
  5. Step 5: Solve for x
    x = 40,225,731.01/9,692.34
  6. Step 6: Final answer
    x = 4,150.26

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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.