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Finding the Fourth Proportional to 11,533.44, 15,912 and 6,562.56

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Solution

The fourth proportional to 11,533.44, 15,912 and 6,562.56 is: 9,053.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,533.44 : 15,912 = 6,562.56 : x
  2. Step 2: Convert to fraction form
    11,533.44/15,912 = 6,562.56/x
  3. Step 3: Cross multiply
    11,533.44x = 15,912 × 6,562.56
  4. Step 4: Simplify right side
    11,533.44x = 104,423,454.72
  5. Step 5: Solve for x
    x = 104,423,454.72/11,533.44
  6. Step 6: Final answer
    x = 9,053.97

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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.