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Finding the Fourth Proportional to 9,761.44, 13,461.69 and 9,036.58

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Solution

The fourth proportional to 9,761.44, 13,461.69 and 9,036.58 is: 12,462.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,761.44 : 13,461.69 = 9,036.58 : x
  2. Step 2: Convert to fraction form
    9,761.44/13,461.69 = 9,036.58/x
  3. Step 3: Cross multiply
    9,761.44x = 13,461.69 × 9,036.58
  4. Step 4: Simplify right side
    9,761.44x = 121,647,638.62
  5. Step 5: Solve for x
    x = 121,647,638.62/9,761.44
  6. Step 6: Final answer
    x = 12,462.06

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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.