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Finding the Fourth Proportional to 11,539.44, 15,926.04 and 6,504.66

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Solution

The fourth proportional to 11,539.44, 15,926.04 and 6,504.66 is: 8,977.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,539.44 : 15,926.04 = 6,504.66 : x
  2. Step 2: Convert to fraction form
    11,539.44/15,926.04 = 6,504.66/x
  3. Step 3: Cross multiply
    11,539.44x = 15,926.04 × 6,504.66
  4. Step 4: Simplify right side
    11,539.44x = 103,593,475.35
  5. Step 5: Solve for x
    x = 103,593,475.35/11,539.44
  6. Step 6: Final answer
    x = 8,977.34

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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.