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Finding the Fourth Proportional to 7,763.46, 11,633.58 and 6,305.46

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Solution

The fourth proportional to 7,763.46, 11,633.58 and 6,305.46 is: 9,448.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,763.46 : 11,633.58 = 6,305.46 : x
  2. Step 2: Convert to fraction form
    7,763.46/11,633.58 = 6,305.46/x
  3. Step 3: Cross multiply
    7,763.46x = 11,633.58 × 6,305.46
  4. Step 4: Simplify right side
    7,763.46x = 73,355,073.35
  5. Step 5: Solve for x
    x = 73,355,073.35/7,763.46
  6. Step 6: Final answer
    x = 9,448.76

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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.