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Finding the Fourth Proportional to 9,692.60, 14,549.70 and 5,318.60

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Solution

The fourth proportional to 9,692.60, 14,549.70 and 5,318.60 is: 7,983.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,692.60 : 14,549.70 = 5,318.60 : x
  2. Step 2: Convert to fraction form
    9,692.60/14,549.70 = 5,318.60/x
  3. Step 3: Cross multiply
    9,692.60x = 14,549.70 × 5,318.60
  4. Step 4: Simplify right side
    9,692.60x = 77,384,034.42
  5. Step 5: Solve for x
    x = 77,384,034.42/9,692.60
  6. Step 6: Final answer
    x = 7,983.83

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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.