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Finding the Fourth Proportional to 11,093.44, 15,282.93 and 7,730.15

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Solution

The fourth proportional to 11,093.44, 15,282.93 and 7,730.15 is: 10,649.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,093.44 : 15,282.93 = 7,730.15 : x
  2. Step 2: Convert to fraction form
    11,093.44/15,282.93 = 7,730.15/x
  3. Step 3: Cross multiply
    11,093.44x = 15,282.93 × 7,730.15
  4. Step 4: Simplify right side
    11,093.44x = 118,139,408.53
  5. Step 5: Solve for x
    x = 118,139,408.53/11,093.44
  6. Step 6: Final answer
    x = 10,649.48

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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.