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Finding the Fourth Proportional to 11,471.85, 17,115.95 and 10,224.45

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Solution

The fourth proportional to 11,471.85, 17,115.95 and 10,224.45 is: 15,254.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,471.85 : 17,115.95 = 10,224.45 : x
  2. Step 2: Convert to fraction form
    11,471.85/17,115.95 = 10,224.45/x
  3. Step 3: Cross multiply
    11,471.85x = 17,115.95 × 10,224.45
  4. Step 4: Simplify right side
    11,471.85x = 175,001,200.54
  5. Step 5: Solve for x
    x = 175,001,200.54/11,471.85
  6. Step 6: Final answer
    x = 15,254.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.