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Finding the Fourth Proportional to 9,757.32, 14,635.52 and 6,786.99

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Solution

The fourth proportional to 9,757.32, 14,635.52 and 6,786.99 is: 10,180.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,757.32 : 14,635.52 = 6,786.99 : x
  2. Step 2: Convert to fraction form
    9,757.32/14,635.52 = 6,786.99/x
  3. Step 3: Cross multiply
    9,757.32x = 14,635.52 × 6,786.99
  4. Step 4: Simplify right side
    9,757.32x = 99,331,119.40
  5. Step 5: Solve for x
    x = 99,331,119.40/9,757.32
  6. Step 6: Final answer
    x = 10,180.17

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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.