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Finding the Fourth Proportional to 7,692.60, 11,538.90 and 7,109.40

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Solution

The fourth proportional to 7,692.60, 11,538.90 and 7,109.40 is: 10,664.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,692.60 : 11,538.90 = 7,109.40 : x
  2. Step 2: Convert to fraction form
    7,692.60/11,538.90 = 7,109.40/x
  3. Step 3: Cross multiply
    7,692.60x = 11,538.90 × 7,109.40
  4. Step 4: Simplify right side
    7,692.60x = 82,034,655.66
  5. Step 5: Solve for x
    x = 82,034,655.66/7,692.60
  6. Step 6: Final answer
    x = 10,664.10

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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.