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Finding the Fourth Proportional to 9,415.98, 14,134.19 and 7,082.64

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Solution

The fourth proportional to 9,415.98, 14,134.19 and 7,082.64 is: 10,631.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,415.98 : 14,134.19 = 7,082.64 : x
  2. Step 2: Convert to fraction form
    9,415.98/14,134.19 = 7,082.64/x
  3. Step 3: Cross multiply
    9,415.98x = 14,134.19 × 7,082.64
  4. Step 4: Simplify right side
    9,415.98x = 100,107,379.46
  5. Step 5: Solve for x
    x = 100,107,379.46/9,415.98
  6. Step 6: Final answer
    x = 10,631.65

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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.