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Finding the Fourth Proportional to 11,034.53, 15,224.15 and 6,845.21

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Solution

The fourth proportional to 11,034.53, 15,224.15 and 6,845.21 is: 9,444.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,034.53 : 15,224.15 = 6,845.21 : x
  2. Step 2: Convert to fraction form
    11,034.53/15,224.15 = 6,845.21/x
  3. Step 3: Cross multiply
    11,034.53x = 15,224.15 × 6,845.21
  4. Step 4: Simplify right side
    11,034.53x = 104,212,503.82
  5. Step 5: Solve for x
    x = 104,212,503.82/11,034.53
  6. Step 6: Final answer
    x = 9,444.22

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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.