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Finding the Fourth Proportional to 9,755.54, 14,633.31 and 7,820.04

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Solution

The fourth proportional to 9,755.54, 14,633.31 and 7,820.04 is: 11,730.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,755.54 : 14,633.31 = 7,820.04 : x
  2. Step 2: Convert to fraction form
    9,755.54/14,633.31 = 7,820.04/x
  3. Step 3: Cross multiply
    9,755.54x = 14,633.31 × 7,820.04
  4. Step 4: Simplify right side
    9,755.54x = 114,433,109.74
  5. Step 5: Solve for x
    x = 114,433,109.74/9,755.54
  6. Step 6: Final answer
    x = 11,730.07

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Similar ratio
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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.