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Finding the Fourth Proportional to 11,575.91, 15,973.92 and 6,796.05

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Solution

The fourth proportional to 11,575.91, 15,973.92 and 6,796.05 is: 9,378.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,575.91 : 15,973.92 = 6,796.05 : x
  2. Step 2: Convert to fraction form
    11,575.91/15,973.92 = 6,796.05/x
  3. Step 3: Cross multiply
    11,575.91x = 15,973.92 × 6,796.05
  4. Step 4: Simplify right side
    11,575.91x = 108,559,559.02
  5. Step 5: Solve for x
    x = 108,559,559.02/11,575.91
  6. Step 6: Final answer
    x = 9,378.06

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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.