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Finding the Fourth Proportional to 9,687.84, 13,375.44 and 5,964

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Solution

The fourth proportional to 9,687.84, 13,375.44 and 5,964 is: 8,234.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,687.84 : 13,375.44 = 5,964 : x
  2. Step 2: Convert to fraction form
    9,687.84/13,375.44 = 5,964/x
  3. Step 3: Cross multiply
    9,687.84x = 13,375.44 × 5,964
  4. Step 4: Simplify right side
    9,687.84x = 79,771,124.16
  5. Step 5: Solve for x
    x = 79,771,124.16/9,687.84
  6. Step 6: Final answer
    x = 8,234.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.