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Finding the Fourth Proportional to 7,658.27, 11,465.10 and 5,692.62

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Solution

The fourth proportional to 7,658.27, 11,465.10 and 5,692.62 is: 8,522.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,658.27 : 11,465.10 = 5,692.62 : x
  2. Step 2: Convert to fraction form
    7,658.27/11,465.10 = 5,692.62/x
  3. Step 3: Cross multiply
    7,658.27x = 11,465.10 × 5,692.62
  4. Step 4: Simplify right side
    7,658.27x = 65,266,457.56
  5. Step 5: Solve for x
    x = 65,266,457.56/7,658.27
  6. Step 6: Final answer
    x = 8,522.36

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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.